Question

Simplify and write the result without negative exponents.
(12a^8b^9/ 4a^7b^8)^-2

Answer 1

You first have to bring every term to the -2 power. Then you move your terms to and from the numerator and denominator to eliminate the negatives. For example: x^4 is the same thing as 1/x^-4.

Please respond if you need further clarification.

Answer 2

1/(9 a^2 b^34)

Answer 3

so i put 12 to the power of -2 making it into a decimal?

Answer 4

is this
\[(\frac{12a^8b^9}{4a^7b^8})^{-2}\]

Answer 5

work inside the parentheses first to get
\[(3ab)^{-2}\]

Answer 6

yeah it is

Answer 7

then the negative exponent means take the reciprocal, so write
\[\frac{1}{(3ab)^2}\]

Answer 8

if you want you can write
\[\frac{1}{9a^2b^2}\]