Question

If you can please help- I need fast answers and a full description! Describe how to transform the quantity of the fifth root of x to the seventh power, to the third power into an expression with a rational exponent. Make sure you respond with complete sentences.

Answer 1

`x^(21/5)`

Explanation:

Step 1: Convert
`\sqrt[5]{x^(7)}` into exponential form

`((x^7)^(1/5))^(3)`

Step 2: Mulitply the 2 exponents together

`(x^(7/5))^(3)`

Step 3: Multiply the exponents again

`(x^(7/5))^(3)` =
`x^(21/5)`