Roboguru

Diketahui  dan , bentuk sederhana  adalah ...

Pertanyaan

Diketahui a not equal to 0 dan b not equal to 0, bentuk sederhana open parentheses fraction numerator 9 a to the power of negative 3 end exponent b to the power of negative 4 end exponent over denominator 3 b squared a to the power of 6 end fraction close parentheses to the power of negative 2 end exponent adalah ...

Pembahasan Soal:

Lakukan operasi hitung pada bilangan berpangkat seperti berikut:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 9 a to the power of negative 3 end exponent b to the power of negative 4 end exponent over denominator 3 b squared a to the power of 6 end fraction close parentheses to the power of negative 2 end exponent end cell equals cell fraction numerator 3 to the power of 2 open parentheses negative 2 close parentheses end exponent a to the power of negative 3 open parentheses negative 2 close parentheses end exponent b to the power of negative 4 open parentheses negative 2 close parentheses end exponent over denominator 3 to the power of negative 2 end exponent b to the power of 2 open parentheses negative 2 close parentheses end exponent a to the power of 6 open parentheses negative 2 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of negative 4 end exponent a to the power of 6 b to the power of 8 over denominator 3 to the power of negative 2 end exponent b to the power of negative 4 end exponent a to the power of negative 12 end exponent end fraction end cell row blank equals cell 3 to the power of negative 4 minus open parentheses negative 2 close parentheses end exponent a to the power of 6 minus open parentheses negative 12 close parentheses end exponent b to the power of 8 minus open parentheses negative 4 close parentheses end exponent end cell row blank equals cell 3 to the power of negative 2 end exponent a to the power of 18 b to the power of 12 end cell row blank equals cell fraction numerator a to the power of 18 b to the power of 12 over denominator 3 squared end fraction end cell row blank equals cell fraction numerator a to the power of 18 b to the power of 12 over denominator 9 end fraction end cell end table

Maka, bentuk sederhana dari open parentheses fraction numerator 9 a to the power of negative 3 end exponent b to the power of negative 4 end exponent over denominator 3 b squared a to the power of 6 end fraction close parentheses to the power of negative 2 end exponent adalah fraction numerator a to the power of 18 b to the power of 12 over denominator 9 end fraction.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 20 Mei 2021

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