Evaluate (2/3)^-2

Question

Algebra 2

Answer 1

Hi Tanya,

 

Let's begin rewriting the expression we have to evaluate, (2/3)^-2 , using a positive exponent. We do this by taking the reciprocal of the original expression:

    1 / (2/3)² 

 

Now we can square the denominator:

    1 / (4/9)

 

Finally we'll turn this double fraction into a multiplication problem by inverting the denominator:

    1 x 9/4 giving our final answer:  9/4

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.