SOLUTION: Simplify: (8^4) ^-9 I know that 8 to the fourth power is 4096, but I do not know what to do about the exponents and especially because the outside one(9) is negative. would I

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: (8^4) ^-9 I know that 8 to the fourth power is 4096, but I do not know what to do about the exponents and especially because the outside one(9) is negative. would I       Log On


   



Question 590958: Simplify:
(8^4) ^-9
I know that 8 to the fourth power is 4096, but I do not know what to do about the exponents and especially because the outside one(9) is negative.
would I simply multiply the exponents--36? But what sign would they be and would the answer be a fraction:
1/4096 ???
and what do I do with the exponent in my answer?
Is this right or am I way off and CONFUSED?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
(8^4) ^-9
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That's right, just multiply the exponents.
= 8%5E-36+=+1%2F%288%5E36%29
Also = 2%5E-108+=+%281%2F2%29%5E108
8^36 is a big number.
(1/8)^36 is a small number, =~ 3.0815E-33