Write the function without radicals by using fractional exponents.
-$$y = \sqrt { ( 5 x - 8 ) ^ { 5 } }$$
A) $y = ( 5 x - 8 ) ^ { 2 / 5 }$
B) $y = ( 5 x - 8 ) ^ { 10 }$
C) $y = ( 5 x - 8 ) ^ { 5 / 2 }$
D) $y = ( 5 x - 8 ) ^ { 5 }$

Question

Quizplus · Accepted Answer

The square root of something can be represented as raising that something to the power of $1/2$. Therefore, $\sqrt{(5x-8)^5}$ is equivalent to $(5x-8)^{5/2}$, because you multiply the exponents when raising a power to a power, resulting in $5 \times \frac{1}{2} = \frac{5}{2}$.

Write the Function Without Radicals by Using Fractional Exponents y=(5x−8)5y = \sqrt { ( 5 x - 8 ) ^ { 5 } }y=(5x−8)5​

Write the Function Without Radicals by Using Fractional Exponents $y = \sqrt { ( 5 x - 8 ) ^ { 5 } }$