Solve -72a^4b^2y^2*(-3ab^2)

$$- 72 a ^ { 4 } b ^ { 2 } y ^ { 2 } \cdot ( - 3 a b ^ { 2 } )$$

Evaluate

$$216y^{2}b^{4}a^{5}$$

Solution Steps

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

$$-72a^{5}b^{2}y^{2}\left(-3\right)b^{2}$$

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

$$-72a^{5}b^{4}y^{2}\left(-3\right)$$

Multiply -72 and -3 to get 216.

$$216a^{5}b^{4}y^{2}$$

Differentiate w.r.t. y

$$432yb^{4}a^{5}$$