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Simplify to a single power of 3 :

(3^(3))^(2)
Answer: 3^◻

Simplify to a single power of $3$ : $\newline$ $\left(3^{3}\right)^{2}$ $\newline$ Answer: $3 ^\square$

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Evaluate rational exponents

Full solution

Q. Simplify to a single power of

3

:

\newline

\left(3^{3}\right)^{2}

\newline

Answer:

3 ^\square

Identify base and exponent: Identify the base and the exponent in $(3^{3})^{2}$ . $\newline$ In $(3^{3})^{2}$ , the base is $3^3$ and the outer exponent is $2$ .
Apply power of power rule: Apply the power of a power rule, which states that $(a^m)^n = a^{m*n}$ . $\newline$ $(3^{3})^{2} = 3^{3*2}$
Multiply exponents: Multiply the exponents. $3^{3\times2} = 3^6$
Write final answer: Write the final answer. $\newline$ Answer: $3^6$

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