Question

What is simplified form of the fifth square root of x times the fifth square root of x times the fifth square root of x times the fifth square root of x

Answer 1

`x`

Explanation:

Apply exponent rules.

`√(x) =x^(1)/(2)\\\:a^b* \:a^c=a^(b+c)`

`\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x} *\sqrt[5]{x}`

`x^{(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)+(1)/(5)}`

`x^1`

Answer 2

Answer: This was a bit hard to understand, x times the 5th root of x

Explanation:

When you multiply square roots of the same root and inside value, they essentially get rid of the square roots. So the first two terms boil down to just x. Then multiply x by the 5th root of x to get:

`x\sqrt[5]{x}`