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(3/2)^(-2)=====–…
Question
(3/2)^(-2)……………………………………………………………..
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Mathematics
5 years
2021-08-10T04:20:42+00:00
2021-08-10T04:20:42+00:00 2 Answers
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Answers ( )
Answer:
4/9
Step-by-step explanation:
(3/2)^(-2)
(3/2)^2=(3/2)(3/2)=9/4
However, ^(-2) means 1/(9/4), which gives you 4/9.
Answer:
4/9
Step-by-step 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!