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Select the equivalent expression (3^3*6^6)^-3

Select the equivalent expression (3^3*6^6)^-3-example-1
User Ebelanger
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2 Answers

9 votes
9 votes


\\ \rm\Rrightarrow (3^3.6^6)^(-3)


\\ \rm\Rrightarrow (1)/((3^36^6)^3)

  • (a^n)^m=a^mn


\\ \rm\Rrightarrow (1)/(3^96^(18))

Option B

User Larsemil
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2.7k points
16 votes
16 votes

Answer:


\textsf{B)} \quad (1)/(3^9 \cdot 6^(18))

Explanation:


(3^3 \cdot 6^6)^(-3)


\textsf{Apply exponent rule} \quad a^(-n)=(1)/(a^n):


\implies (1)/((3^3 \cdot 6^6)^3)


\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:


\implies (1)/((3^3)^3 \cdot (6^6)^3)


\textsf{Apply exponent rule} \quad (a^b)^c=a^(bc):


\implies (1)/(3^9 \cdot 6^(18))

User Jvf
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2.9k points