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

Answer:

$x^{\frac{21}{5}}$

Step-by-step explanation:

$5^{th} \ root \ of \ x^7 = (x^ 7)^{\frac{1}{5}}$

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

$(x^7)^{\frac{1}{5}} = x^{\frac{7}{5}}$

$( x^{\frac{7}{5}})^3 = x^{\frac{21}{5}}$