Use the Power Rule of Exponents to simplify the expression (73^4)^5

Question

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Answer 1

To simplify the expression \((73^4)^5\) using the Power Rule of Exponents, we apply the rule, which states that \((a^m)^n = a^{m \cdot n}\).

For the expression \((73^4)^5\):

1. Identify the base \(a = 73\).
2. Identify the exponents \(m = 4\) and \(n = 5\).

Now, apply the Power Rule:

\[ (73^4)^5 = 73^{4 \cdot 5} = 73^{20} \]

Therefore, the simplified expression is:

\[ 73^{20} \]