Which expression is equivalent to (5^6)^6? Choices: (A)5^36 (B)1/5^12 (C)5^12 (D)1/5^36

Simplify Power Rule: Simplify the expression using the power of a power rule. (5^6)^6 = 5^(6*6) = 5^36Match with Choices: Match the simplified expression with the given choices. 5^36 corresponds to choice (A).

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Which expression is equivalent to $(5^6)^6$ ? $\newline$ Choices: $\newline$ (A) $5^{36}$ $\newline$ (B) $\frac{1}{5^{12}}$ $\newline$ (C) $5^{12}$ $\newline$ (D) $\frac{1}{5^{36}}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

(5^6)^6

\newline

Choices:

\newline

(A)

5^{36}

\newline

(B)

\frac{1}{5^{12}}

\newline

(C)

5^{12}

\newline

(D)

\frac{1}{5^{36}}

Simplify Power Rule: Simplify the expression using the power of a power rule. $\newline$ $(5^6)^6 = 5^{(6*6)}$ $\newline$ $= 5^{36}$
Match with Choices: Match the simplified expression with the given choices. $\newline$ $5^{36}$ corresponds to choice (A).