Find the value of [(-2)^-2]^-4. Give me answer. I will make you brainl

1.	Find the value of [(-2)^-2]^-4. Give me answer. I will make you brainliest.
Answer» Answer: 256 Step-by-step explanation: ________________________________ 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 ______________________________________ ${\huge{\purple{ If\:this\: helped\:you\:follow\:me!!!$

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

Answer»

Answer:

256

Step-by-step explanation:

________________________________

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

______________________________________

${\huge{\purple{ If\:this\: helped\:you\:follow\:me!!!$

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

Hi there!!!!!! :D

First we have to KNOW some laws of EXPONENTS...

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