Use rational exponents to simplify. Assume that all variables represent positive real numbers.
-$\sqrt [ 20 ] { ( 10 y ) ^ { 4 } }$
A) $\sqrt [ 5 ] { 10 y }$
B) $\sqrt [ 16 ] { 10 y }$
C) $\sqrt [ 5 ] { 10 \mathrm { y } ^ { 4 } }$
D) $100,000 y ^ { 5 }$

Question

Quizplus · Accepted Answer

The expression $\sqrt [ 20 ] { ( 10 y ) ^ { 4 } }$ can be rewritten using rational exponents as $(10y)^{\frac{4}{20}}$, which simplifies to $(10y)^{\frac{1}{5}}$, equivalent to $\sqrt [ 5 ] { 10 y }$.

Use Rational Exponents to Simplify (10y)420\sqrt [ 20 ] { ( 10 y ) ^ { 4 } }20(10y)4​

Use Rational Exponents to Simplify $\sqrt [ 20 ] { ( 10 y ) ^ { 4 } }$