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…

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

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

Answer

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:

$3^4 \cdot 3^4$