How do you find the product of (3ad)/(4c^4)*(8c^2)/(6d)?

2 Answers
Dec 22, 2016

a/c^2

Explanation:

(3ad)/(4c^4) * (8c^2)/(6d)

cross-cancel:

(3ad)/(3d)=a

(6d)/(3d) = 2

(8c^2)/(4c^2)=2

(4c^4)/(4c^2)=c^2

simplified equation:

a/c^2 * 2/2

=(2a)/(2c^2)

=a/c^2

Dec 22, 2016

=a/c^2

Explanation:

Product means the answer to a mulitplication.

(3ad)/(4c^4) xx (8c^2)/(6d)" " cancel any like factors

(cancel3ad)/(cancel4c^4) xx (cancel8^2c^2)/(cancel6^2d)" "larr(8div4=2)/(6div3=2)

Simplify into one numerator and one denominator

= (cancel2ac^2canceld)/(cancel2c^4canceld)

Simplify by subtracting indices of like bases

=a/c^2