Solve -72a^4b^2y^2div3ab^2

$$-72 { a }^{ 4 } { b }^{ 2 } { y }^{ 2 } \div 3a { b }^{ 2 }$$

Evaluate

$$-24y^{2}b^{4}a^{5}$$

Solution Steps

Divide -72a^{4}b^{2}y^{2} by 3 to get -24a^{4}b^{2}y^{2}.

$$-24a^{4}b^{2}y^{2}ab^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$-24a^{5}b^{2}y^{2}b^{2}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$-24a^{5}b^{4}y^{2}$$

Differentiate w.r.t. y

$$-48yb^{4}a^{5}$$