Pertanyaan

Sederhanakan dalam bentuk pangkat positif. b. ( 4 m 3 n 2 m 2 n − 1 ) − 3 ( m 4 n − 2 2 m − 3 n ) 2

Sederhanakan dalam bentuk pangkat positif.

b. $(\frac{m ^{2} n ^{- 1}}{4 m ^{3} n ^{2}})^{- 3} (\frac{2 m ^{- 3} n}{m ^{4} n ^{- 2}})^{2}$

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Jawaban terverifikasi

Jawaban

bentuk pangkat positif dari

bentuk pangkat positif dari Error converting from MathML to accessible text.

Pembahasan

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut. , , , Penyelesaian soal di atas adalah sebagai berikut. Dengan demikian, bentuk pangkat positif dari

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut.

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 over a to the power of n equals a to the power of m minus n end exponent , a not equal to 0

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

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

open parentheses a over b close parentheses to the power of m equals a to the power of m over b to the power of m , b not equal to 0

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

Penyelesaian soal di atas adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses fraction numerator m squared n to the power of negative 1 end exponent over denominator 4 m cubed n squared end fraction close parentheses to the power of negative 3 end exponent open parentheses fraction numerator 2 m to the power of negative 3 end exponent n over denominator m to the power of 4 n to the power of negative 2 end exponent end fraction close parentheses squared end cell row blank equals cell open parentheses m squared n to the power of negative 1 end exponent close parentheses to the power of negative 3 end exponent over open parentheses 4 m cubed n squared close parentheses to the power of negative 3 end exponent times open parentheses 2 m to the power of negative 3 end exponent n close parentheses squared over open parentheses m to the power of 4 n to the power of negative 2 end exponent close parentheses squared end cell row blank equals cell fraction numerator m to the power of negative 6 end exponent times n cubed over denominator 4 to the power of negative 3 end exponent times m to the power of negative 9 end exponent times n to the power of negative 6 end exponent end fraction times fraction numerator 2 squared times m to the power of negative 6 end exponent times n squared over denominator m to the power of 8 times n to the power of negative 4 end exponent end fraction end cell row blank equals cell fraction numerator 2 squared times m to the power of negative 6 plus open parentheses negative 6 close parentheses end exponent times n to the power of 3 plus 2 end exponent over denominator open parentheses 2 squared close parentheses to the power of negative 3 end exponent times m to the power of negative 9 plus 8 end exponent times n to the power of negative 6 plus open parentheses negative 4 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator 2 squared times m to the power of negative 12 end exponent times n to the power of 5 over denominator 2 to the power of negative 6 end exponent times m to the power of negative 1 end exponent times n to the power of negative 10 end exponent end fraction end cell row blank equals cell 2 to the power of 2 minus open parentheses negative 6 close parentheses end exponent times m to the power of negative 12 minus open parentheses negative 1 close parentheses end exponent times n to the power of 5 minus open parentheses negative 10 close parentheses end exponent end cell row blank equals cell 2 to the power of 8 times m to the power of negative 11 end exponent times n to the power of 15 end cell row blank equals cell fraction numerator 2 to the power of 8 times n to the power of 15 over denominator m to the power of 11 end fraction end cell end table$

Dengan demikian, bentuk pangkat positif dari Error converting from MathML to accessible text.