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what is equivalant to $\left(3^a\right)^2$

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Evaluate integers raised to positive rational exponents

Full solution

Q. what is equivalant to

\left(3^a\right)^2

Apply Power Rule: Apply the power of a power rule. $\newline$ The power of a power rule states that $(x^m)^n = x^{(m*n)}$ . In this case, $x$ is $3$ , $m$ is $a$ , and $n$ is $2$ . $\newline$ $(3^a)^2 = 3^{(a*2)}$
Multiply Exponents: Multiply the exponents. $\newline$ Now we multiply the exponents $a$ and $2$ to get the new exponent for the base $3$ . $\newline$ $3^{(a*2)} = 3^{2a}$

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