Roboguru

Pertanyaan

begin mathsize 14px style 5 r cubed q squared cross times 4 p r squared s cubed equals.... end style 

Pembahasan Video:

Pembahasan Soal:

5 r cubed q squared cross times 4 p r squared s cubed equals 20 p q squared r to the power of 5 s cubed 

Jadi, bentuk sederhana dari bentuk pangkat tersebut adalah 20 p q squared r to the power of 5 s cubed.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

D. Entry

Terakhir diupdate 07 Juni 2021

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Pertanyaan yang serupa

Tentukan hasil dari operasi bilangan berpangkat !

Pembahasan Soal:

Sifat Bilangan Berpangkat

a to the power of m times a to the power of n equals a to the power of m plus n end exponent a to the power of m space colon space a to the power of n equals a to the power of m minus n end exponent 

Sifat Pembagian Pecahan

a over b space colon space c over d equals a over b cross times d over c 

Hasil dari open parentheses fraction numerator 4 m to the power of 4 n cubed over denominator 3 n p end fraction close parentheses space colon thin space open parentheses fraction numerator 4 m squared n over denominator 6 n squared p squared end fraction close parentheses adalah:

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses fraction numerator 4 m to the power of 4 n cubed over denominator 3 n p end fraction close parentheses space colon thin space open parentheses fraction numerator 4 m squared n over denominator 6 n squared p squared end fraction close parentheses end cell row blank equals cell open parentheses fraction numerator 4 m to the power of 4 n cubed over denominator 3 n p end fraction close parentheses cross times open parentheses fraction numerator 6 n squared p over denominator 4 m squared n squared end fraction close parentheses end cell row blank equals cell fraction numerator open parentheses 4 times 6 close parentheses m to the power of 4 n to the power of 3 plus 2 end exponent p over denominator open parentheses 3 times 4 close parentheses m squared n to the power of 1 plus 2 end exponent p end fraction end cell row blank equals cell fraction numerator 24 m to the power of 4 minus 2 end exponent n to the power of 5 minus 3 end exponent p to the power of 1 minus 1 end exponent over denominator 12 end fraction end cell row blank equals cell 2 m squared n squared end cell end table 

Jadi, Error converting from MathML to accessible text..

0

Roboguru

Bentuk sederhana dari  adalah ...

Pembahasan Soal:

begin mathsize 14px style open parentheses a to the power of 1 half end exponent b squared c to the power of negative 4 end exponent close parentheses to the power of negative 2 end exponent open parentheses a to the power of 1 third end exponent b to the power of negative 2 end exponent c cubed close parentheses cubed equals open parentheses a to the power of 1 half cross times open parentheses negative 2 close parentheses end exponent b to the power of 2 cross times open parentheses negative 2 close parentheses end exponent c to the power of negative 4 cross times open parentheses negative 2 close parentheses end exponent close parentheses open parentheses a to the power of 1 third cross times 3 end exponent b to the power of negative 2 cross times 3 end exponent c to the power of 3 cross times 3 end exponent close parentheses equals open parentheses a to the power of negative 1 end exponent b to the power of negative 4 end exponent c to the power of 8 close parentheses open parentheses a to the power of 1 b to the power of negative 6 end exponent c to the power of 9 close parentheses equals a to the power of negative 1 plus 1 end exponent b to the power of negative 4 plus open parentheses negative 6 close parentheses end exponent c to the power of 8 plus 9 end exponent equals a to the power of 0 b to the power of negative 10 end exponent c to the power of 17 equals b to the power of negative 10 end exponent c to the power of 17 end style 

Jadi, jawaban yang tepat adalah D.

0

Roboguru

Nilai dari  adalah

Pembahasan Soal:

Kita gunakan sifat bilangan berpangkat

begin mathsize 14px style 1. space open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent 2. space a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent 3. space a to the power of m divided by a to the power of n equals a to the power of m over a to the power of n equals a to the power of m minus n end exponent 4. space 1 over a to the power of negative m end exponent equals a to the power of m space atau space a to the power of negative m end exponent equals 1 over a to the power of m end style

Sehingga,

begin mathsize 14px style open parentheses 2 cubed over 3 squared close parentheses to the power of negative 1 end exponent cross times open parentheses 2 cubed cross times 3 squared close parentheses divided by 3 squared over 2 cubed equals 2 to the power of 3 times negative 1 end exponent over 3 to the power of 2 times negative 1 end exponent cross times 2 cubed cross times 3 squared divided by 3 squared over 2 cubed equals 2 to the power of negative 3 end exponent over 3 to the power of negative 2 end exponent cross times 2 cubed cross times 3 squared divided by 3 squared over 2 cubed equals 2 to the power of negative 3 plus 3 minus open parentheses negative 3 close parentheses end exponent cross times 3 to the power of negative open parentheses negative 2 close parentheses plus 2 minus 2 end exponent equals 2 cubed 3 squared end style

Oleh karena itu, jawaban yang tepat adalah D

1

Roboguru

Bentuk sederhana dari adalah...

Pembahasan Soal:

begin mathsize 14px style fraction numerator a to the power of negative 5 end exponent b to the power of negative 1 end exponent c to the power of negative 4 end exponent over denominator open parentheses a b c close parentheses to the power of negative 6 end exponent end fraction equals fraction numerator a to the power of negative 5 end exponent b to the power of negative 1 end exponent c to the power of negative 4 end exponent over denominator a to the power of negative 6 end exponent b to the power of negative 6 end exponent c to the power of negative 6 end exponent end fraction space space space space space space space space space space space space space space space space space equals a to the power of negative 5 minus open parentheses negative 6 close parentheses end exponent b to the power of negative 1 minus open parentheses negative 6 close parentheses end exponent c to the power of negative 4 minus open parentheses negative 6 close parentheses end exponent space space space space space space space space space space space space space space space space space equals a b to the power of 5 c squared space space space space space space space space space space space space space space space space space space space space space space space space space space space space space end style 

Jadi, jawaban yang tepat adalah C

2

Roboguru

b.

Pembahasan Soal:

Bilangan berpangkat bulat positif dapat didefinisikan sebagai berikut.

a to the power of n equals stack a cross times a cross times a cross times horizontal ellipsis cross times a with underbrace below table row blank cell space space space space space space space space end cell cell n space text faktor end text end cell end table

Ingat sifat bilangan berpangkat berikut.

a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent

open parentheses a b close parentheses to the power of m equals a to the power of m b to the power of m

open parentheses a divided by b close parentheses to the power of m equals a to the power of m divided by b to the power of m comma space b not equal to 0

a to the power of negative m end exponent equals 1 over a to the power of m comma space a not equal to 0

sehingga penyelesaian soal di atas, yaitu

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator open parentheses open parentheses x to the power of begin display style 1 half end style end exponent y to the power of negative begin display style 1 fourth end style end exponent close parentheses to the power of negative begin display style 1 third end style end exponent close parentheses to the power of 12 over denominator x to the power of negative begin display style 1 fifth end style end exponent y to the power of begin display style 1 half end style end exponent end fraction close parentheses to the power of 10 end cell equals cell open parentheses fraction numerator open parentheses open parentheses x to the power of begin display style 1 half end style end exponent close parentheses to the power of negative begin display style 1 third end style end exponent open parentheses y to the power of negative begin display style 1 fourth end style end exponent close parentheses to the power of negative begin display style 1 third end style end exponent close parentheses to the power of 12 over denominator x to the power of negative 1 fifth end exponent y to the power of 1 half end exponent end fraction close parentheses to the power of 10 end cell row blank equals cell open parentheses fraction numerator open parentheses x to the power of negative begin display style 1 over 6 end style end exponent y to the power of begin display style 1 over 12 end style end exponent close parentheses to the power of 12 over denominator x to the power of negative 1 fifth end exponent y to the power of 1 half end exponent end fraction close parentheses to the power of 10 end cell row blank equals cell open parentheses fraction numerator open parentheses x to the power of negative 1 over 6 end exponent close parentheses to the power of 12 open parentheses y to the power of 1 over 12 end exponent close parentheses to the power of 12 over denominator x to the power of negative 1 fifth end exponent y to the power of 1 half end exponent end fraction close parentheses to the power of 10 end cell row blank equals cell open parentheses fraction numerator x to the power of negative 2 end exponent y over denominator x to the power of negative 1 fifth end exponent y to the power of 1 half end exponent end fraction close parentheses to the power of 10 end cell row blank equals cell open parentheses x to the power of negative 2 end exponent y close parentheses to the power of 10 over open parentheses x to the power of negative 1 fifth end exponent y to the power of 1 half end exponent close parentheses to the power of 10 end cell row blank equals cell fraction numerator open parentheses x to the power of negative 2 end exponent close parentheses to the power of 10 open parentheses y close parentheses to the power of 10 over denominator open parentheses x to the power of negative 1 fifth end exponent close parentheses to the power of 10 open parentheses y to the power of 1 half end exponent close parentheses to the power of 10 end fraction end cell row blank equals cell fraction numerator x to the power of negative 20 end exponent y to the power of 10 over denominator x to the power of negative 2 end exponent y to the power of 5 end fraction end cell row blank equals cell x to the power of negative 20 minus open parentheses negative 2 close parentheses end exponent y to the power of 10 minus 5 end exponent end cell row blank equals cell x to the power of negative 18 end exponent y to the power of 5 end cell row blank equals cell y to the power of 5 over x to the power of 18 end cell end table

Dengan demikian, bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator open parentheses open parentheses x to the power of begin display style 1 half end style end exponent y to the power of negative begin display style 1 fourth end style end exponent close parentheses to the power of negative begin display style 1 third end style end exponent close parentheses to the power of 12 over denominator x to the power of negative begin display style 1 fifth end style end exponent y to the power of begin display style 1 half end style end exponent end fraction close parentheses to the power of 10 end cell equals cell y to the power of 5 over x to the power of 18 end cell end table

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