Question

Simplify.

(−5p4z6u)3
Question 13 options:

A−75p12z18u3

B−15p12z18u3

C−125p12z18u3

D−125p7z9

Answer 1

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


`= (-5)^3p^(4 * 3)z^(6 * 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

`-125p^(12)z^(18)u^3`

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.