Question

which expression shows how to write $(3^4)^2$ as a product? $3^4\cdot 3^2$ $3^4\cdot 3^4$ $3^4\cdot 3^4\cdot 3^2\cdot 3^2$ $3^4\cdot 3^4\cdot 3^4\cdot 3^4$

Explanation:

Step1: Recall exponent power rule

The power of a power rule states that $(a^m)^n = a^{m \times n}$, which is equivalent to multiplying $a^m$ by itself $n$ times.

Step2: Apply rule to given expression

For $(3^4)^2$, this means multiplying $3^4$ by itself 2 times.
<Expression>
$(3^4)^2 = 3^4 \cdot 3^4$
</Expression>

Answer:

$3^4 \cdot 3^4$