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horsena [70]
3 years ago
7

Simplify.

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
3 0
(-5p^4z^6u)^3

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

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

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

just olya [345]3 years ago
3 0

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.

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