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5 votes
(3/2)^(-2).......................................................................

User Eqzx
by
8.2k points

2 Answers

4 votes

Answer:

4/9

Explanation:

(3/2)^(-2)

(3/2)^2=(3/2)(3/2)=9/4

However, ^(-2) means 1/(9/4), which gives you 4/9.

User Variatus
by
8.5k points
0 votes

Answer:

4/9

Explanation:

First of all we need to get rid of the -2 exponent and make it positive in order to solve this equation.

Therefore to do this we just use the reciprocal of 3/2 which is 2/3

Now we have (2/3)^2

Since 2/3 is being squared we used the following equation below:

(2/3) * (2/3)

We multiply 2/3 by itself twice since 2 is the exponent.

Then we get:

2^2

-----

3^2

2 squared is 4 and 3 squared is 9.

Therefore the final answer is 4/9.

I hope this helps have a good rest of your day!

User Eram
by
8.0k points

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