Question

What is the simplified form of 5 square root x • 5 square root x • 5 square root x • 5 square root x?

A. 4 5square root x
B. 5 square root 4x
C. x^5/4
D. x^4/5

Answer 1

D

Explanation:

The expression
`\sqrt[5]{x} *\sqrt[5]{x}* \sqrt[5]{x} *\sqrt[5]{x}` simplifies to
`\sqrt[5]{x*x*x*x} = \sqrt[5]{x^4}`

A radical can be written as a fractional exponent. The index of a radical is the denominator of its fractional exponent.

`x^(4)/(5)`