Question 558170: I'm working with fraction exponents i.e. #roots. I know how to solve for the variable when it is an exponent, but this is a new lesson where I have to solve for the variable that is a base.

This what I've tried, but I've hit a dead end.
Problem: 
Step 1: or is it 
---I got same bases on both sides of the equation and had 4^(3-24) subsitute my value for 40, since (4^3)=64, but I would have to subtract 24 from either the exponent or from the whole side of the equation. Here's where I hit a wall and I don't know what to do after that since I tried to do both of my alternatives.
P.S. This is an excercise to get our feet wet for tomorrow's lesson.
Found 3 solutions by KMST, edjones, mananth: Answer by KMST(5400) (Show Source): Answer by edjones(8007) (Show Source): Answer by mananth(16949) (Show Source):
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