Calculate (9×7)⁴: Fourth Power of Product Exercise

To solve the problem, we need to apply the exponent rule known as the Power of a Product, which states that if you have a product raised to an exponent, you can apply the exponent to each factor in the product individually.

The general form of this rule is:

$(a \times b)^n = a^n \times b^n$

According to this formula, when we have the expression:

$(9 \times 7)^4$

We apply the exponent 4 to each factor within the parentheses. This process results in:

• Raising 9 to the power of 4: $9^4$
• Raising 7 to the power of 4: $7^4$

Therefore, the expression simplifies to:

$9^4 \times 7^4$

This demonstrates the application of the Power of a Product rule successfully, showing detailed steps and the correct application of exponential laws.