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simplify. (5z)³ write your answer without parentheses.

Question

simplify.
(5z)³
write your answer without parentheses.

Explanation:

Step1: Apply the power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((5z)^3\), we apply this rule: \(5^3 \times z^3\).

Step2: Calculate \(5^3\)

\(5^3 = 5\times5\times5 = 125\). So now we have \(125\times z^3\), which is \(125z^3\).

Answer:

\(125z^3\)