Posted by **Wanda** on Saturday, July 28, 2012 at 10:07am.

I need an explanation on how to work out

negative exponents. Example: (3a^-2b^3)^-2

- Elementary Algebra -
**Henry**, Sunday, July 29, 2012 at 4:17pm
(3a^-2b^3)^-2 =

1/(3a^-2*b^3)2 =

Square everything inside the parenthesis:

1/(9a^-4*b^6) = a^4/9b^6.

NOTE: Never leave neg. exponents in your answer. To remove the neg. exponent

from 1/a^-4, multiply numerator and

denominator by a^4:

1/a^-4 = 1*a^4/a^-4*a^4 = a^4/1 = a^4.

We,actually, moved a^-2 to the numerator

and changed the sign.

- Elementary Algebra -
**Henry**, Sunday, July 29, 2012 at 4:24pm
Correction: We,actually, moved a^-4 to

the numerator and changed the sign of the exponent.

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