Which expression is equivalent to the one shown below?

Ответ:

frankgore8496

01.01.2022

$\frac{1}{2}\cdot z^2$ is the required equivalent expression.

Step-by-step explanation:

We have been given an expression:

$(4z)^{-3}\cdot (2z)^5$

First open the parenthesis and simplify we will get:

$\frac{1}{4^3\cdot z^3}\cdot 2^5\cdot z^5$

$\frac{1}{64z^3}\cdot 32z^5$

On simplification by dividing 64 by 32

$\frac{1}{2\cdot z^3}\cdot z^5$

When positive power changes its position from denominator to numerator its sign changes and vice-versa.

$\frac{1}{2}\cdot z^{5-3}$

$\frac{1}{2}\cdot z^2$ is the required equivalent expression.

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