Question

please help me simplify
this exponent 24^-1a^-3/6^-2b^-2


Basically it's this right?:

(24^-1 * a^-3) / (6^-2 * b^-2)

so:

(1/24 * 1/(a^3)) / (1/(6^2) * 1/(b^2))

you should know that 6^2 = 36 so 1/(6^2) = 1/36

Now multiply:

(1/(24a^3)) / (1/(36b^2))

Then flip:

(24a^3) / (36b^2)


A helpful hint when dividing fractions:

(A/B) / (C/D) =

Think that the "inside" (a.k.a., the numbers closest to the division line) will be multiplied to create the numerator, while the "outside" will be the denominator.

= (B*C)/(A*D)


woops. i flipped that...SORRY! it becomes AD / BC

so, inside = denominator, outside = numerator


(A/B)/(C/D) =
(A/B)*(D/C) = (A*D)/(B*C)