Question

Simplify: sqrt[3]{81x ^{7}y ^{12}z ^{14}}

Answer 1

\[\sqrt[3]{81x ^{7}y ^{12}z ^{14}}\]

Answer 2

(81)^1/3=(3^3)1/3=3
;x^7]^1/3=x^7/3
[y^12]^1/3=y^4[
[z^14]^1/3=z^14/3

3*(x^7/3)*(y^4)*(z^14/3)

Answer 3

You have to use the fact that\[
\sqrt[b]{x^a} = x^{a/b}
\]