use the power rule of exponets to simply the expression (73 to the power of 4) to the power of 5

Answer 1

To simplify the expression \((7^3)^4\) to the power of 5 using the power rule of exponents, which states that \((a^m)^n = a^{m \cdot n}\), you can follow these steps:

1. Start with the expression: \((7^3)^4\)
2. Apply the power rule: \((7^3)^4 = 7^{3 \cdot 4} = 7^{12}\)

Now you need to raise \(7^{12}\) to the power of 5:

3. Now take \( (7^{12})^5 \): \((7^{12})^5 = 7^{12 \cdot 5} = 7^{60}\)

So, the simplified expression is:

\[ 7^{60} \]