Write the expression using rational exponents. Then simplify and convert back to radical notation. $\sqrt [ 3 ] { 27 x ^ { 3 } y ^ { 2 } z }$
A) $3 \sqrt [ 3 ] { y ^ { 2 } z }$
B) $3 \sqrt [ 3 ] { x y ^ { 2 } z }$
C) $3 x \sqrt [ 3 ] { y ^ { 2 } z }$
D) $x \sqrt [ 3 ] { 27 y ^ { 2 } z }$

Question

Quizplus · Accepted Answer

The expression $\sqrt [ 3 ] { 27 x ^ { 3 } y ^ { 2 } z }$ can be simplified by taking the cube root of $27$ and $x^3$, which are $3$ and $x$ respectively, leaving $y^2z$ inside the radical. Thus, the simplified expression is $3x\sqrt[3]{y^2z}$.

Write the Expression Using Rational Exponents 27x3y2z3\sqrt [ 3 ] { 27 x ^ { 3 } y ^ { 2 } z }327x3y2z​

Write the Expression Using Rational Exponents $\sqrt [ 3 ] { 27 x ^ { 3 } y ^ { 2 } z }$