Pertanyaan

Sederhanakanlah: ( 2 b − 2 a 3 ) − 2

Sederhanakanlah:

$(\frac{a ^{3}}{2 b ^{- 2}})^{- 2}$

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari ad alah

bentuk sederhana dari $open parentheses fraction numerator a cubed over denominator 2 b to the power of negative 2 end exponent end fraction close parentheses to the power of negative 2 end exponent$ adalah $fraction numerator 4 over denominator a to the power of 6 times b to the power of 4 end fraction$

Pembahasan

Ingat kembali: Sehingga diperoleh perhitungan: Jadi, bentuk sederhana dari ad alah

Ingat kembali:

open parentheses a over b close parentheses to the power of n equals a to the power of n over b to the power of n comma space a not equal to 0 comma space 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 times n end exponent comma space a not equal to 0

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

Sehingga diperoleh perhitungan:

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

Jadi, bentuk sederhana dari $open parentheses fraction numerator a cubed over denominator 2 b to the power of negative 2 end exponent end fraction close parentheses to the power of negative 2 end exponent$ adalah $fraction numerator 4 over denominator a to the power of 6 times b to the power of 4 end fraction$