Raise to the power or find the root. Assume that all variables represent positive numbers. Write with only positive
exponents.
-$\left( \frac { 4 ^ { 3 } x ^ { 1 / 4 } y ^ { 5 } } { x ^ { 1 / 4 } } \right) ^ { 1 / 3 }$
A) $4 y ^ { 5 }$
B) $4 y ^ { 5 / 3 }$
C) $4 y ^ { 3 / 5 }$
D) $y ^ { 5 / 3 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the parentheses by canceling $x^{1/4}$ in the numerator and the denominator. This leaves $\frac{4^3y^5}{1}$, which simplifies to $4^3y^5$. Then, apply the exponent $\frac{1}{3}$ to both the base 4 and the exponent of y, resulting in $4^{3\cdot\frac{1}{3}}y^{5\cdot\frac{1}{3}}$, which simplifies to $4y^{5/3}$.

Raise to the Power or Find the Root (43x1/4y5x1/4)1/3\left( \frac { 4 ^ { 3 } x ^ { 1 / 4 } y ^ { 5 } } { x ^ { 1 / 4 } } \right) ^ { 1 / 3 }(x1/443x1/4y5​)1/3

Raise to the Power or Find the Root $\left( \frac { 4 ^ { 3 } x ^ { 1 / 4 } y ^ { 5 } } { x ^ { 1 / 4 } } \right) ^ { 1 / 3 }$