Question

Describe how to transform (^5 sq root x^7)^3 into an expression with a rational exponent. Make sure you respond with complete sentences.

Answer 1

`x^{(21)/(5)}`

Explanation:

`5^(th) \ root \ of \ x^7 = (x^ 7)^{(1)/(5)}`

`Using \ the \ rule : \sqrt[n]{x} =x^{(1)/(n)} \\\\(x^a)^b = x^(ab)`

`(x^7)^{(1)/(5)} = x^{(7)/(5)}`

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