Question

How do you simplify `sqrt (x^5)`?

Answer 1

`x^(5/2)`

Explanation:

The only way this may be simplified is by expressing as a fractional exponent.

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(sqrtx=x^(1/2))color(white)(a/a)|)))`

`rArrsqrt(x^5)=(x^5)^(1/2)`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)((a^m)^n=a^(mn))color(white)(a/a)|)))`

`rArr(x^5)^(1/2)=x^(5xx1/2)=x^(5/2)`

`rArrsqrt(x^5)=x^(5/2)`