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Which of the following is equal to 10^-(-3)^2

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Which of the following is equal to 10^-(-3)^2?

a) 1/10^9

b) 1/10^6

c) 1/10^3

d) 10^6

e) 10^9

I selected D on the understanding that (x^r)^s = x^rs. Eg (x^3)^4 = x^12. So by my working on the above I get:

= 10^-(-6) (because -3 X 2 = -6)
= 10^6

Can someone please explain my error. Thanks!

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