Question

put in exponetial form
^5sqrtsqrt3

Answer 1

\[\sqrt[5]{\sqrt{3}}\]

Answer 2

OK, well, consider this: \[\[\sqrt{x} = x^{1/2}\]\]

Answer 3

you have squareroot of 3, then the 5th root of that value

Answer 4

you can basically think of roots as the base raised to the fraction 1/the xth root...so \[\sqrt{x} =x^{1/2}\] \[\sqrt[y]{x}\] is \[x^{1/y}\]

Answer 5

\[3^{5/2}\]?

Answer 6

why 5 in the numerator?

Answer 7

It was an educated guess

Answer 8

the value of \[\sqrt[5]{\sqrt{3}}\] is (3^.5)^(1/5) is alot smaller than \[3^{5/2}\]

Answer 9

so you have \[(3^{1/2})^{1/5}\]

Answer 10

you can use the rules of exponents, and here you raising \[3^{1/2}\] to \[1/5\]

Answer 11

so you would multiply the exponents here

Answer 12

\[3^{1/10}\]?

Answer 13

right on!

Answer 14

haha thanks

Answer 15

yeah, no problem, do you have anymore questions?

Answer 16

wait, was this clear?

Answer 17

Yeah, I'll have more exponetial questions lol. and yes it was explained clearly