Question

When we raise 3 to the power of 1/4, what root of 3 are we finding?

Answer 1

3^(1/4) = the 4th root.

Explanation:

when you raise to an fraction exponent, the numerator (top fraction number) is what the number is to the power of, and the denominator (bottom fraction number) is the root. so for example, if you have 2 to the 3/2 power, that is 2 to the 3rd power, and then the square root of that. so 2^3 is 2*2*2 = 8, than 2 to 3/2 is going to be the square root of 8. hope that helps! :)

Answer 2

fourth root of 3

Explanation:

raise 3 to the power of 1/4

`3^(1)/(4)`

Apply exponential property

`a^(m)/(n)= \sqrt[n]{a^m}`

the numerator goes inside the radical . denominator goes outside the radical

`3^(1)/(4)`

`\sqrt[4]{a^1}`

`\sqrt[4]{a}`

So its fourth root (3)

we are finding fourth root of 3