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Which expression is equivalent to $6^6 \times 6^6$ ? $\newline$ Choices: $\newline$ (A) $6^{12}$ $\newline$ (B) $\frac{1}{6^{12}}$ $\newline$ (C) $6^{36}$ $\newline$ (D) $\frac{1}{6^{36}}$

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Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

6^6 \times 6^6

?

\newline

Choices:

\newline

(A)

6^{12}

\newline

(B)

\frac{1}{6^{12}}

\newline

(C)

6^{36}

\newline

(D)

\frac{1}{6^{36}}

Identify base and exponents: Step $1$ : Identify the base and the exponents. $\newline$ Base: $6$ $\newline$ Exponents: $6, 6$
Combine exponents: Step $2$ : Combine the exponents since the bases are the same. $\newline$ $6^6 \times 6^6 = 6^{(6+6)} = 6^{12}$
Match with choices: Step $3$ : Match the result with the given choices. $6^{12}$ corresponds to choice (A) $6^{12}$ .

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