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

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1 answer

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

So for your expression:

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

Now calculate \(4 \cdot 5\):

\[ 4 \cdot 5 = 20 \]

Thus, we have:

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

So the simplified expression is:

\[ 73^{20} \]