Question

What is the simplified form of the seventh root of x to the fifth power times the seventh root of x to the fifth power?

the square root of x

x to the four ninth power

x

x times the seventh root of x cubed

Answer 1

\[
\sqrt[7]{x^5} \times \sqrt[7]{x^5} = \sqrt[7]{x^{10}} = \sqrt[7]{x^3\times x^{7}} = x\sqrt[7]{x^3}
\]