Question

find the power. write in fraction form.
(-2)^-6=?

Answer 1

\[\frac{1}{(-2)^6}\] is a start

Answer 2

do you know what 2^6 is? a negative exponent means reciprocal
and check the sign, which depends on whether the exponent is odd or even

Answer 3

I dont understand. Im trying to say that the exponent is negative 6...

Answer 4

\[b^{-n}=\frac{1}{b^n}\]

Answer 5

so do I multily the new fraction by its reciprical...?

Answer 6

so 2^6 I know is 64....at least I believe it is...

Answer 7

in that case it is either 1/64 or -1/64

Answer 8

the answer should be positive

Answer 9

\[(-2)^{-6} = {1 \over {(-2)(-2)(-2)(-2)(-2)(-2)}}\]

Answer 10

that's it! you got it

Answer 11

so the answer is 1/64?
O-o

Answer 12

don't doubt yourself... you know this stuff, just step through it slowly