Question

Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a rational exponent. Make sure you respond with complete sentences.

Answer 1

`(\sqrt[5]{x^(7)})^(3)=(x^{(7)/(5)})^(3)=x^{(7\cdot3)/(5)}=x^{(21)/(5)}`

The root is equivalent to a fractional power with that number as the denominator. Otherwise, the rules of exponents apply.