Answer:
[tex]-125p^{12}z^{18}u^3[/tex]
Step-by-step explanation:
We have been given an expression [tex](-5p^4z^6u)^3[/tex]. We are asked to simplify our given expression.
Using exponent rule [tex](ab)^c=a^c\cdot b^c[/tex], we can rewrite our expression as:
[tex](-5)^3(p^4)^3(z^6)^3(u)^3[/tex]
Using exponent rule [tex](a^b)^c=a^{b\cdot c}[/tex], we can rewrite our expression as:
[tex]-125p^{4*3}z^{6*3}u^3[/tex]
[tex]-125p^{12}z^{18}u^3[/tex]
Therefore, the simplified form of our given expression is [tex]-125p^{12}z^{18}u^3[/tex] and option C is the correct choice.
