Question

use the power rules for exponents to simplify the expression.
4(qr)^5

4(qr)^5 = \square (type your answer using exponents.)

Explanation:

Step1: Apply Power of a Product Rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((qr)^5\), we apply this rule: \((qr)^5 = q^5 r^5\).

Step2: Multiply by the Coefficient

The original expression is \(4(qr)^5\). Substituting the simplified \((qr)^5\) from Step 1, we get \(4 \times q^5 r^5 = 4q^5 r^5\).

Answer:

\(4q^5r^5\)