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Which expression is equivalent to $4^4 \times 4^4$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{4^8}$ $\newline$ (B) $\frac{1}{4^{16}}$ $\newline$ (C) $4^{16}$ $\newline$ (D) $4^8$

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Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

4^4 \times 4^4

?

\newline

Choices:

\newline

(A)

\frac{1}{4^8}

\newline

(B)

\frac{1}{4^{16}}

\newline

(C)

4^{16}

\newline

(D)

4^8

Identify Base and Exponents: Identify the base and the exponents in the expression $4^4 \times 4^4$ . $\newline$ Base: $4$ $\newline$ Exponents: $4, 4$
Combine Exponents: Combine the exponents since the bases are the same. $\newline$ $4^4 \times 4^4 = 4^{(4+4)} = 4^8$
Check Equivalent Expression: Check the choices for the equivalent expression. $\newline$ The correct answer is $4^8$ , which matches choice (D).

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