SOLUTION: I am struggling with advanced Scientific Notation. I need some help as even the explanations I have printed out are not tracking for me. POWERS AND ROOTS OF SCIENTIFIC NOTATION:

Question 45408: I am struggling with advanced Scientific Notation. I need some help as even the explanations I have printed out are not tracking for me.
POWERS AND ROOTS OF SCIENTIFIC NOTATION:
Calculate: (1*10^2)^-2

In a previous problem: (3*10^-4)^3 the answer turned out to be 2.7 * 10^-11. I have no idea how they got that.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Calculate: (1.0 x 10^2)^-2
=(1.0 x 10^-4)
=1/1000 or 1.0x10^-4
In a previous problem: (3*10^-4)^3 the answer turned out to be 2.7 * 10^-11. I have no idea how they got that.
(3*10^-4)^3
=3^9 x 10^-12
=27 x 10^-12
Now, divide the 27 by 10 and multiply the 10^-12 by 10 to get:
2.7 x 10^-11
Cheers,
Stan H
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