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

1 Answer
vanessa
May 12, 2018

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

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