Question

evaluate: $(5^{-8})^{-6}$
a $(5)^{48}$
b $(5)^{-48}$
c $(5)^{14}$
d none of the above.
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Explanation:

Step1: Apply exponent power rule

Recall the rule $(a^m)^n = a^{m \times n}$. For $(5^{-8})^{-6}$, multiply the exponents:
$\text{New exponent} = -8 \times -6$

Step2: Calculate the product

$(-8) \times (-6) = 48$
So the expression simplifies to $5^{48}$.

Answer:

A. $(5)^{48}$