Question

find the value of [(-2)^-2]^-4. Give me answer. I will make you brainliest.​

Answer 1

Answer:

256

Step-by-step explanation:

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Hi there!!!!!! :D

First we have to know some laws of exponents...

• ${a}^{ - 1} = \frac{1}{a}$

• $({a}^{m} ) ^{n } = {a}^{m \times n}$

Now back to the sum....

=> [(-1/2)^2]^-4

=> (-1 x -1 /2 x 2) ^-4

=> ( 1/4)^-4

=> (4)^4

=> 4 x 4 x 4 x 4 = 256

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