Perform the indicated operation. Be sure your answer is in simplest form.
-6ab^3/5a times 10b/-24ab^2

Question

Perform the indicated operation. Be sure your answer is in simplest form.
-6ab^3/5a times 10b/-24ab^2

kropot72 · Answer

Have you tried to solve? You need to use division of terms in the numerator and denominator to solve.

anonymous · Answer

huh?

anonymous · Answer

it -6ab^3           10b
   -------   x  --------
       5a            -24ab^2

kropot72 · Answer

Dividing both the numerator and the denominator by 5 gives:
-6ab^3/a times 2b/-24ab^2
Do you follow?

anonymous · Answer

ya

kropot72 · Answer

Good. Next divide numerator and denominator by 6 to get:
-ab^3/a times 2b/-4ab^2.
Next divide both num. And denom. by b^2 to get:
-ab/a times 2b/-4a
Can you see how it can be simplified further?

anonymous · Answer

-ab^3 / a times 2b / -2ab^2

anonymous · Answer

?

anonymous · Answer

What should you do with a in the first fraction? b in the second one?

anonymous · Answer

take it from both sides

anonymous · Answer

b^3/ a times 2b/ b^2

anonymous · Answer

Do it one by one, simplify:
-ab^3 / a =

kropot72 · Answer

Thelast term I wrote was -ab/a time 2b/-4a
.This reduces to b^2/2a

kropot72 · Answer

$$b ^{2}\div2a$$ is the answer.