Question

Simplify.

Answer 1

$(-5p^4z^6u)^3$

$= (-5)^3p^{4 \times 3}z^{6 \times 3} u^3$

$= -125p^{12}z^{18} u^3$

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$\text {Answer = } -125p^{12}z^{18} u^3 \text { (Answer C) }$
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Answer 2

Answer:

$-125p^{12}z^{18}u^3$

Step-by-step explanation:

We have been given an expression $(-5p^4z^6u)^3$. We are asked to simplify our given expression.

Using exponent rule $(ab)^c=a^c\cdot b^c$, we can rewrite our expression as:

$(-5)^3(p^4)^3(z^6)^3(u)^3$

Using exponent rule $(a^b)^c=a^{b\cdot c}$, we can rewrite our expression as:

$-125p^{4*3}z^{6*3}u^3$

$-125p^{12}z^{18}u^3$

Therefore, the simplified form of our given expression is $-125p^{12}z^{18}u^3$ and option C is the correct choice.