Multiply (3^2*3^3)^2

${(3^{2} \cdot 3^{3})}^{2}$

Multiply $3^{2}$ by $3^{3}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(3^{2 + 3})}^{2}$

Add $2$ and $3$ .

${(3^{5})}^{2}$

Multiply the exponents in ${(3^{5})}^{2}$ .

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Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$3^{5 \cdot 2}$

Multiply $5$ by $2$ .

$3^{10}$

Raise $3$ to the power of $10$ .

$59049$

Multiply (3^2*3^3)^2

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