Question

How do you solve `r^(1/4)=3`?

Answer 1

`r=81`

Explanation:

To isolate a number with an exponent on it, use exponent rules to get rid of exponents. For this example, we want to get rid of a denominator of 4, so we should raise each side to the 4th power.

`r^(1/4)=3`

`(r^(1/4))^4=3^4`

This simplifies to:

`r^(1/4*4)=3^4`

Since `1/4*4` is equal to `1` and any number to the power of 1 is just the number,

`r = 3^4 = 81`