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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