Which expression is equivalent to 5^2 * 5^4? Choices: (A)5^6 (B)1/5^6 (C)5^8 (D)1/5^8

Identify Operation: Identify the operation to perform with the exponents. When multiplying powers with the same base, we add the exponents. a^m * a^n = a^(m + n)Add Exponents: Add the exponents of the powers of 5. 5^2 * 5^4 = 5^(2+4) = 5^6Choose Equivalent Expression: Choose the equivalent expression for 5^2 * 5^4 from the given choices. 5^2 * 5^4 is equivalent to 5^6, which corresponds to choice (A)5^6.

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Which expression is equivalent to $5^2 \times 5^4$ ? $\newline$ Choices: $\newline$ (A) $5^6$ $\newline$ (B) $\frac{1}{5^6}$ $\newline$ (C) $5^8$ $\newline$ (D) $\frac{1}{5^8}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions I

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Q. Which expression is equivalent to

5^2 \times 5^4

\newline

Choices:

\newline

(A)

5^6

\newline

(B)

\frac{1}{5^6}

\newline

(C)

5^8

\newline

(D)

\frac{1}{5^8}

Identify Operation: Identify the operation to perform with the exponents. $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $a^m \times a^n = a^{(m + n)}$
Add Exponents: Add the exponents of the powers of $5$ . $5^2 \times 5^4 = 5^{(2+4)} = 5^6$
Choose Equivalent Expression: Choose the equivalent expression for $5^2 \times 5^4$ from the given choices. $\newline$ $5^2 \times 5^4$ is equivalent to $5^6$ , which corresponds to choice $(A)5^6$ .