Which is an equivalent expression for $$ \left(3^{2} \cdot 5^{4}\right)^{3} ? $$ $$ 3^{2} \cdot 5^{12} $$ $$ 3^{5} \cdot 5^{7} $$ $$ 3^{6} \cdot 5^{12} $$ $$ 15^{18} $$

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To find an equivalent expression for $$ \left(3^{2} \cdot 5^{4}\right)^{3} $$, we can use the **power of a product** property, which states that $$(a \cdot b)^c = a^c \cdot b^c$$.

Applying this property:

$$
\left(3^{2} \cdot 5^{4}\right)^{3} = 3^{2 \cdot 3} \cdot 5^{4 \cdot 3} = 3^{6} \cdot 5^{12}
$$

**Therefore, the equivalent expression is:**

$$
3^{6} \cdot 5^{12}
$$

**Answer:** $$ 3^{6} \cdot 5^{12} $$
The equivalent expression is $$ 3^{6} \cdot 5^{12} $$.

Which is an equivalent expression for

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