Question

u5d1: rational exponents
score: 11/28 attempts: 14/28
question 3
evaluate each expression (using exponent rules). no calculation.
$(z^8)^5$

Explanation:

Step1: Recall Power of a Power Rule

The power of a power rule states that \((a^m)^n = a^{m \times n}\). Here, \(a = z\), \(m = 8\), and \(n = 3\).

Step2: Apply the Rule

Using the power of a power rule, we multiply the exponents: \(8\times3 = 24\). So, \((z^8)^3 = z^{8\times3}=z^{24}\).

Answer:

\(z^{24}\)