Question

Simplify (−5z)^3. Write your answer using only positive exponents. Evaluate any numerical powers.

Answer 1

Answer:

$-125\ z^3$

Step-by-step explanation:

To simplify:

$(-5\ z)^3$

Using Power of product rule [ $(a\ b)^x=a^xb^x$ ]

⇒ $(-5)^3(z)^3$

Evaluating the numerical powers.

⇒ $(-5\times -5 \times -5)\ z^3$

⇒ $-125\ z^3$

The expression cannot be simplified any further, so that would be the final form.