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introduction to the power of a power rule w rewrite using a single expo…

Question

introduction to the power of a power rule w
rewrite using a single exponent.
\\((5^6)^3\\)

Explanation:

Step1: Apply power of a power rule

The power of a power rule states that $(a^m)^n = a^{m \times n}$. For $(5^6)^3$, set $a=5$, $m=6$, $n=3$.

Step2: Calculate the new exponent

Multiply the exponents: $6 \times 3 = 18$

Answer:

$5^{18}$