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Chapter 5: Q. 129 (page 288)

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

Short Answer

Expert verified

Because of negative exponent rule

Step by step solution

01

Given information

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

02

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

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

so their graphs are identical

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Most popular questions from this chapter

Solve the equation ${(\frac{1}{4})}^{x} = \frac{1}{64}$

and verify your results using a graphing utility.

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

If $2^{x} = 3$ , what does $4^{- x}$ equal?

In Problems $33 - 40$ , the graph of an exponential function is given. Match each graph to one of the following functions.

Solve the equation ${(\frac{1}{5})}^{x} = \frac{1}{25}$

and verify your results using a graphing utility.

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