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what (2^3)^-2

Guest May 5, 2017
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So for this problem you're going to want to do the exponent inside of the paranthesis first. Let's focus on the term inside of the paranthesis...

 

(2^3)

 

Now it's simply 2 multiplied by another two twos.

 

2 x 2 x 2 = 8

 

Now that you have the inside of the paranthesis taken care of, just focus on the entire picture.

 

(8)^-2

 

Since we're doing a negative exponent, let's do the reciprocal of 8 other wise stated as

 

(1/8) ^ 2

 

Now distribute the 2 power to both one and 8

 

(1^2 / 8^2)

 

(1*1 / 8*8)

 

(1/64) <--- Final answer

HighSchoolCalculus  May 5, 2017

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