Q. 129 - Precalculus Enhanced with Graphing Utilities

Question

The graphs of $y=a^{-x}$ and $y={\left[\frac{1}{a}\right]}^x$are identical. Why?

Step-by-Step Solution

Answer

Because of negative exponent rule 

Step 1 Given information

graph of $y=a^{-x}$ and $y={\left[\frac{1}{a}\right]}^x$ is identical 

Step.2 We know that From negative exponent rule if a m =   1 a n and a ≠ 1 then m = - n

so       $y=a^{-x}={\left[\frac{1}{a}\right]}^x$

so their graphs are identical