Question

available: jan 30, 2026 12:00am until feb 9, 2026 11:59pm
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power of a power
score: 1/6 answered: 1/6
question 2
what is $(7^{8})^{6}$? answer as a power of 7.
type ^ (shift+6) to enter an exponent.
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Explanation:

Step1: Apply power of a power rule

The power of a power rule states that $(a^m)^n = a^{m \times n}$. For this problem, $a=7$, $m=8$, $n=6$.
$$(7^8)^6 = 7^{8 \times 6}$$

Step2: Calculate the new exponent

Multiply the exponents 8 and 6.
$$8 \times 6 = 48$$

Answer:

$7^{48}$