Pertanyaan

1. Bentuk sederhana dari ( 2 − 4 3 − 2 5 2 2 − 3 3 − 2 5 − 2 ) 2 adalah...

1. Bentuk sederhana dari $(\frac{2 ^{- 3} 3 ^{- 2} 5 ^{- 2}}{2 ^{- 4} 3 ^{- 2} 5 ^{2}})^{2}$ adalah... $\;$

$begin mathsize 14px style fraction numerator 2 to the power of 4 over denominator 3 squared space 5 squared end fraction end style$
$begin mathsize 14px style fraction numerator 2 to the power of 4 over denominator 5 to the power of 1 space 3 squared end fraction end style$

Y. Fathoni

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta.

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Dengan menggunakan sifat bilangan berpangkat/eksponen: 1. 2. 3. 4. maka, Oleh karena itu, jawaban yang tepat adalah B.

Dengan menggunakan sifat bilangan berpangkat/eksponen:

1. a to the power of m over a to the power of n equals a to the power of m minus n end exponent

2. a to the power of 0 equals 1

3. a to the power of negative n end exponent equals 1 over a to the power of n

4. open parentheses a to the power of m b to the power of n close parentheses to the power of r equals a to the power of m cross times r end exponent b to the power of n cross times r end exponent

maka,

$begin mathsize 14px style open parentheses fraction numerator 2 to the power of negative 3 end exponent space 3 to the power of negative 2 end exponent space 5 to the power of negative 2 end exponent over denominator 2 to the power of negative 4 end exponent space 3 to the power of negative 2 end exponent space 5 squared end fraction close parentheses squared equals open parentheses 2 to the power of negative 3 minus left parenthesis negative 4 right parenthesis end exponent space 3 to the power of negative 2 minus left parenthesis negative 2 right parenthesis end exponent space 5 to the power of negative 2 minus 2 end exponent close parentheses squared open parentheses fraction numerator 2 to the power of negative 3 end exponent space 3 to the power of negative 2 end exponent space 5 to the power of negative 2 end exponent over denominator 2 to the power of negative 4 end exponent space 3 to the power of negative 2 end exponent space 5 squared end fraction close parentheses squared equals open parentheses 2 to the power of 1 space 3 to the power of 0 space 5 to the power of negative 4 end exponent close parentheses squared open parentheses fraction numerator 2 to the power of negative 3 end exponent space 3 to the power of negative 2 end exponent space 5 to the power of negative 2 end exponent over denominator 2 to the power of negative 4 end exponent space 3 to the power of negative 2 end exponent space 5 squared end fraction close parentheses squared equals 2 to the power of 1 cross times 2 end exponent space 3 to the power of 0 cross times 2 end exponent space 5 to the power of negative 4 cross times 2 end exponent open parentheses fraction numerator 2 to the power of negative 3 end exponent space 3 to the power of negative 2 end exponent space 5 to the power of negative 2 end exponent over denominator 2 to the power of negative 4 end exponent space 3 to the power of negative 2 end exponent space 5 squared end fraction close parentheses squared equals 2 squared space 3 to the power of 0 space 5 to the power of negative 8 end exponent open parentheses fraction numerator 2 to the power of negative 3 end exponent space 3 to the power of negative 2 end exponent space 5 to the power of negative 2 end exponent over denominator 2 to the power of negative 4 end exponent space 3 to the power of negative 2 end exponent space 5 squared end fraction close parentheses squared equals 2 squared over 5 to the power of 8 end style$

Oleh karena itu, jawaban yang tepat adalah B.