Which expression is equivalent to (4^6)^2? Choices: (A)1/4^8 (B)4^12 (C)4^8 (D)1/4^12

Apply Power of a Power Rule: Simplify the expression using the power of a power rule, which states (a^m)^n = a^(m*n). Calculation: (4^6)^2 = 4^(6*2) = 4^12.Compare with Choices: Compare the result with the given choices. Calculation: 4^12 matches choice (B) 4^12.

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Which expression is equivalent to $(4^6)^2$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4^8}$ $\newline$ (B) $4^{12}$ $\newline$ (C) $4^8$ $\newline$ (D) $\frac{1}{4^{12}}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions I

Full solution

Q. Which expression is equivalent to

(4^6)^2

\newline

Choices:

\newline

(A)

\frac{1}{4^8}

\newline

(B)

4^{12}

\newline

(C)

4^8

\newline

(D)

\frac{1}{4^{12}}

Apply Power of a Power Rule: Simplify the expression using the power of a power rule, which states $(a^m)^n = a^{m*n}$ . $\newline$ Calculation: $(4^6)^2 = 4^{6*2} = 4^{12}$ .
Compare with Choices: Compare the result with the given choices. $\newline$ Calculation: $4^{12}$ matches choice (B) $4^{12}.$