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QUESTION IMAGE

rewrite using a single exponent. \\((3^7)^4\\)

Question

rewrite using a single exponent.

\\((3^7)^4\\)

Explanation:

Identify the given expression

$$ (3^7)^4 $$

Apply the power of a power rule

$$ (a^m)^n = a^{m \cdot n} $$
$$ (3^7)^4 = 3^{7 \cdot 4} $$

Simplify the exponent

$$ 7 \cdot 4 = 28 $$
$$ 3^{28} $$

Answer:

Rewrite using a single exponent.

<blank>\(3^{28}\)</blank>