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Which expression is equivalent to $11^4 \times 11^4$ ? $\newline$ Choices: $\newline$ (A) $11^{16}$ $\newline$ (B) $\frac{1}{11^8}$ $\newline$ (C) $\frac{1}{11^{16}}$ $\newline$ (D) $11^8$

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Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

11^4 \times 11^4

?

\newline

Choices:

\newline

(A)

11^{16}

\newline

(B)

\frac{1}{11^8}

\newline

(C)

\frac{1}{11^{16}}

\newline

(D)

11^8

Identify base and exponents: Step $1$ : Identify the base and the exponents in the expression $11^4 \times 11^4$ . $\newline$ Base: $11$ $\newline$ Exponents: $4, 4$
Combine exponents: Step $2$ : Combine the exponents since the bases are the same. $\newline$ $11^4 \times 11^4 = 11^{(4+4)} = 11^8$
Match with choices: Step $3$ : Match the result with the given choices. $\newline$ $11^8$ corresponds to choice (D).

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