Write the expression by using rational exponents rather than radical notation. $\frac { 16 } { \sqrt [ 5 ] { x } }$
A) $16 x ^ { 1 / 5 }$
B) $16 x ^ { - 5 }$
C) $16 x ^ { - 1 / 5 }$
D) $( 16 x ) ^ { - 1 / 5 }$

Question

Quizplus · Accepted Answer

Converting the given expression from radical notation to rational exponent notation, the denominator becomes $x$ raised to the power of $-1/5$, because the fifth root of $x$ is $x^{1/5}$, and moving it to the denominator changes the exponent to negative. Therefore, the expression is $16x^{-1/5}$.

Write the Expression by Using Rational Exponents Rather Than Radical 16x5\frac { 16 } { \sqrt [ 5 ] { x } }5x​16​

Write the Expression by Using Rational Exponents Rather Than Radical $\frac { 16 } { \sqrt [ 5 ] { x } }$