Solve (4f^9h^3)(-5f^6)(-3h^2)

$$( 4 f ^ { 9 } h ^ { 3 } ) ( - 5 f ^ { 6 } ) ( - 3 h ^ { 2 } )$$

Evaluate

$$60h^{5}f^{15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 6 to get 15.

$$4f^{15}h^{3}\left(-5\right)\left(-3\right)h^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$4f^{15}h^{5}\left(-5\right)\left(-3\right)$$

Multiply 4 and -5 to get -20.

$$-20f^{15}h^{5}\left(-3\right)$$

Multiply -20 and -3 to get 60.

$$60f^{15}h^{5}$$

Differentiate w.r.t. f

$$900h^{5}f^{14}$$