exponents: Evaluate (3/4)^-1 = 1/ (3/4)^1

[Tess]

Evaluate the following:

(3/4)^-1 = 1/ (3/4)^1

Then my directions say that the answer is 4/3.

Can someone explain how we get this?

Tessa

 

[soroban]

Re: exponents

Hello, Tessa!

Evaluate: \(\displaystyle \left(\frac{3}{4}\right)^{-1}\)

You started fine . . . keep going!

. . \(\displaystyle \L\left(\frac{3}{4}\right)^{-1} \:=\:\frac{1}{\left(\frac{3}{4}\right)^1}\)

This is: \(\displaystyle \L\:1\, \div\, \frac{3}{4}\;\;\Rightarrow\;\;1\,\times\,\frac{4}{3} \:=\:\frac{4}{3}\)

 

[Tess]

Okay, got it.

How do you write equations like you do? Is there some kind of equation editor I should use?