Pertanyaan

Tentukan hasil pengerjaan hitung berikut. a. 1 8 − 3 2 − 3 × 9 − 2 + 1 2 3 6 12 × 2 4 − 2

Tentukan hasil pengerjaan hitung berikut.

a. $\frac{2 ^{- 3} \times 9 ^{- 2}}{1 8 ^{- 3}} + \frac{6 ^{12} \times 2 4 ^{- 2}}{1 2 ^{3}}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil dari pengerjaan hitung

hasil dari pengerjaan hitung 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, hasil dari pengerjaan hitung

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 0 equals 1 , 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 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 fraction numerator 2 to the power of negative 3 end exponent cross times 9 to the power of negative 2 end exponent over denominator 18 to the power of negative 3 end exponent end fraction plus fraction numerator 6 to the power of 12 cross times 24 to the power of negative 2 end exponent over denominator 12 cubed end fraction end cell row blank equals cell fraction numerator 2 to the power of negative 3 end exponent cross times open parentheses 3 squared close parentheses to the power of negative 2 end exponent over denominator open parentheses 2 cross times 3 squared close parentheses to the power of negative 3 end exponent end fraction plus fraction numerator open parentheses 2 cross times 3 close parentheses to the power of 12 cross times open parentheses 2 cubed cross times 3 close parentheses to the power of negative 2 end exponent over denominator open parentheses 2 squared cross times 3 close parentheses cubed end fraction end cell row blank equals cell fraction numerator 2 to the power of negative 3 end exponent cross times 3 to the power of negative 4 end exponent over denominator 2 to the power of negative 3 end exponent cross times 3 to the power of negative 6 end exponent end fraction plus fraction numerator 2 to the power of 12 cross times 3 to the power of 12 cross times 2 to the power of negative 6 end exponent cross times 3 to the power of negative 2 end exponent over denominator 2 to the power of 6 cross times 3 cubed end fraction end cell row blank equals cell open parentheses 2 to the power of 0 cross times 3 to the power of negative 4 minus open parentheses negative 6 close parentheses end exponent close parentheses plus fraction numerator 2 to the power of 12 plus open parentheses negative 6 close parentheses end exponent cross times 3 to the power of 12 plus open parentheses negative 2 close parentheses end exponent over denominator 2 to the power of 6 cross times 3 cubed end fraction end cell row blank equals cell open parentheses 1 cross times 3 squared close parentheses plus fraction numerator 2 to the power of 6 cross times 3 to the power of 10 over denominator 2 to the power of 6 cross times 3 cubed end fraction end cell row blank equals cell 3 squared plus open parentheses 2 to the power of 6 minus 6 end exponent cross times 3 to the power of 10 minus 3 end exponent close parentheses end cell row blank equals cell 3 squared plus open parentheses 2 to the power of 0 cross times 3 to the power of 7 close parentheses end cell row blank equals cell 3 squared plus open parentheses 1 cross times 3 to the power of 7 close parentheses end cell row blank equals cell 3 squared plus 3 to the power of 7 end cell row blank equals cell 9 plus 2.187 end cell row blank equals cell 2.196 end cell end table$

Dengan demikian, hasil dari pengerjaan hitung Error converting from MathML to accessible text.