Use the power rule and the power of a product rule to simplify the expression.
left parenthesis 4 z Superscript 5 Baseline right parenthesis squared
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Part 1
left parenthesis 4 z Superscript 5 Baseline right parenthesis squaredequals
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The expression (4z^5)^2 can be simplified using both the power rule and the power of a product rule.
Using the power rule, we can multiply the exponents:
(4z^5)^2 = 4^2 * (z^5)^2 = 16 * z^(5*2) = 16 * z^10
Using the power of a product rule, we can multiply the coefficient by itself and multiply the exponent by 2:
16 * z^10 can be written as (16z^10).
Therefore, (4z^5)^2 simplifies to 16z^10.