Write the function without radicals by using fractional exponents.
-$$y = \sqrt [ 4 ] { ( x - 3 ) ^ { 3 } }$$
A) $y = x ^ { 4 / 3 } - 3$
B) $y = x ^ { 3 / 4 } - 3$
C) $y = ( x - 3 ) ^ { 3 / 4 }$
D) $y = ( x - 3 ) ^ { 4 / 3 }$

Question

Quizplus · Accepted Answer

The fourth root of a number is equivalent to raising that number to the power of $1/4$. Therefore, $\sqrt[4]{(x-3)^3}$ can be rewritten as $(x-3)^{3/4}$.

Write the Function Without Radicals by Using Fractional Exponents y=(x−3)34y = \sqrt [ 4 ] { ( x - 3 ) ^ { 3 } }y=4(x−3)3​

Write the Function Without Radicals by Using Fractional Exponents $y = \sqrt [ 4 ] { ( x - 3 ) ^ { 3 } }$