Pertanyaan

( 2 m n − 2 ) 3 8 m 5 n 4 disederhanakan menjadi ....

$\frac{8 m ^{5} n ^{4}}{( 2 m n ^{- 2} ) ^{3}}$ disederhanakan menjadi $....$

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Diketahui maka berdasarkan sifat bilangan berpangkat maka diperoleh Berdasarkan sifat bilangan berpangkat yaitu maka Berdasarkan sifat bilangan berpangkat yaitu maka Jadi disederhanakan menjadi . Oleh karena itu, jawaban yang benar adalah C.

Diketahui $fraction numerator 8 m to the power of 5 n to the power of 4 over denominator open parentheses 2 m n to the power of negative 2 end exponent close parentheses cubed end fraction$ maka berdasarkan sifat bilangan berpangkat open parentheses a cross times b close parentheses to the power of m equals a to the power of m cross times b to the power of m maka diperoleh

$fraction numerator 8 m to the power of 5 n to the power of 4 over denominator open parentheses 2 m n to the power of negative 2 end exponent close parentheses cubed end fraction equals fraction numerator 8 m to the power of 5 n to the power of 4 over denominator 2 cubed m cubed open parentheses n to the power of negative 2 end exponent close parentheses cubed end fraction$

Berdasarkan sifat bilangan berpangkat yaitu open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 8 m to the power of 5 n to the power of 4 over denominator open parentheses 2 m n to the power of negative 2 end exponent close parentheses cubed end fraction end cell equals cell fraction numerator 8 m to the power of 5 n to the power of 4 over denominator 2 cubed m cubed open parentheses n to the power of negative 2 end exponent close parentheses cubed end fraction end cell row blank equals cell fraction numerator up diagonal strike 8 m to the power of 5 n to the power of 4 over denominator up diagonal strike 8 m cubed n to the power of negative 2 cross times 3 end exponent end fraction end cell row blank equals cell fraction numerator m to the power of 5 n to the power of 4 over denominator m cubed n to the power of negative 6 end exponent end fraction end cell end table$

Berdasarkan sifat bilangan berpangkat yaitu 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 maka

Jadi $fraction numerator 8 m to the power of 5 n to the power of 4 over denominator open parentheses 2 m n to the power of negative 2 end exponent close parentheses cubed end fraction$ disederhanakan menjadi m squared n to the power of 10 .

Oleh karena itu, jawaban yang benar adalah C.