SOLUTION: please help me solve this equation {{{ if 4^n=20, then what is the value of 4^-n

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Question 147280: please help me solve this equation please+help+me+solve+this+equation+ if 4^n=20, then what is the value of 4^-n
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In this problem, you don't necessarily need to solve for n. You just need to transform 4%5En into 4%5E%28-n%29

4%5En=20 Start with the given equation.


%284%5En%29%5E%28-1%29=%2820%29%5E%28-1%29 Raise both sides to the negative first power.


4%5E%28-n%29=%2820%29%5E%28-1%29 Multiply the exponents on the left side.


4%5E%28-n%29=1%2F%2820%5E1%29 Rewrite %2820%29%5E%28-1%29 as 1%2F%2820%5E1%29.


4%5E%28-n%29=1%2F%2820%29 Simplify.