Asked by Alicia

I need to simplify this.

(2^-1 . 7^-4)^-2

I thought that 2 was suppose to be multiplied with the -1, but that doesn't seem to make sense so I am confused. I know that PEDMAS needs to be used, just don't know how to apply it. Any help is appreciated!

Answers

Answered by Reiny
(2^-1 . 7^-4)^-2
= (2^2)(7^8)
= 23059204
Answered by Laurie
Those aren't any of my choices Here is what i got

2^2 . 7^8

2^5 . 7^5

1/2^5 . 7^5

1/2^2 . 7 ^8
Answered by Reiny
sorry I went to the effort of calculating
2^2 . 7^8 for you.
Answered by Laurie
Thanks! That is what I thought, but why is this the answer? How does the probelm work it self out to be like that?
Answered by Anonymous
multiply each of the inside terms by the outside term.

2^-1*1^-2 = combine exponents = 2^2

7^-4*1^-2 = combine exponents = 7^8
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