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Simplify. Express your answer using a single exponent. $\newline$ $(11v^5)^2$

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Powers of a power: variable bases

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Q. Simplify. Express your answer using a single exponent.

\newline

(11v^5)^2

Apply Power: Simplify the expression $(11v^5)^2$ . First, apply the power to each factor inside the parentheses. $(11v^5)^2 = 11^2 \times (v^5)^2$
Calculate $11^2$ : Calculate $11^2$ . $\newline$ $11^2 = 121$ .
Calculate $(v^5)^2$ : Calculate $(v^5)^2$ . Use the rule of exponents $(a^m)^n = a^{m*n}$ . $(v^5)^2 = v^{5*2} = v^{10}$ .
Combine Results: Combine the results. $121 \times v^{10} = 121v^{10}.$

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