Question

Rewrite the radical expression as an expression with rational exponents.

fifth root of x to the power of 7

Answer 1

`x^{(7)/(5)}`

Explanation:

Rewrite the radical expression as an expression with rational exponents.

fifth root of x to the power of 7

`\sqrt[5]{x^7}`

To write the given expression with radical exponent we use the rule

`\sqrt[n]{a^m}=a^{(m)/(n)}`

Move the index n to the denominator of exponent

`\sqrt[5]{x^7}=x^{(7)/(5)}`

Expression with rational exponent is
`x^{(7)/(5)}`

Answer 2

x^(7/5)

Explanation:

Root goes on bottom of fraction

Power goes on top

x^(7/5)