Which expression is equivalent to (5^8)^7? Choices: (A)1/5^15 (B)5^15 (C)5^56 (D)1/5^56

Apply Power Rule: When raising a power to a power, we multiply the exponents. (5^8)^7 = 5^(8*7)Calculate Exponents: Calculate the product of the exponents. 5^(8*7) = 5^56Compare with Choices: Compare the result with the given choices. The expression 5^56 matches choice (C).

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Which expression is equivalent to $(5^8)^7$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{5^{15}}$ $\newline$ (B) $5^{15}$ $\newline$ (C) $5^{56}$ $\newline$ (D) $\frac{1}{5^{56}}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

(5^8)^7

\newline

Choices:

\newline

(A)

\frac{1}{5^{15}}

\newline

(B)

5^{15}

\newline

(C)

5^{56}

\newline

(D)

\frac{1}{5^{56}}

Apply Power Rule: When raising a power to a power, we multiply the exponents. $\newline$ $(5^8)^7 = 5^{(8\times7)}$
Calculate Exponents: Calculate the product of the exponents. $5^{8\times7} = 5^{56}$
Compare with Choices: Compare the result with the given choices. $\newline$ The expression $5^{56}$ matches choice (C).