Use the Power Rule of Exponents to simplify the expression (73⁴)⁵

Question

.(1 point)

Answer 1

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

1. Identify \(a\), \(m\), and \(n\):

   • \(a = 73\)
   • \(m = 4\)
   • \(n = 5\)

2. Use the Power Rule: \[ (73^4)^5 = 73^{4 \cdot 5} = 73^{20} \]

Thus, the simplified expression is \(\boxed{73^{20}}\).