Question

What is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x times the seventh root of x?

4 times the seventh root of x

x to the four-sevenths power

the seventh root of 4x

x to the seven fourths power

Answer 1

\[\sqrt[7]{x}\cdot\sqrt[7]{x}\cdot\sqrt[7]{x}\cdot\sqrt[7]{x}~~?\]

Answer 2

\[\sqrt[n]{x}=x^{1/n}~~\Rightarrow~~\sqrt[7]{x}=x^{1/7}\]
\[x^{a}x^{b}=x^{a+b}~~\Rightarrow~~x^{1/7}\cdot x^{1/7}\cdot x^{1/7}\cdot x^{1/7}=x^{4/7}\]

Answer 3

thanks

Answer 4

yw