Algebra Foundation Quiz #1

Can someone please explain its solution to me?
I did ๐” x 10^-2 = (๐”^2)^4
So it doesnโ€™t seem to work.

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First of all itโ€™s quadruple which means multiplied by 4, your answer is correct as x <> 0, so x = 1/400. You can try it in reverse order also, just substitute 0.0025 as x in following eqn: x/100 = 4(x^2) which equals to 0.000025.