Solve (10g^3h^8v^6)(11gh^8)

$$( 10 g ^ { 3 } h ^ { 8 } v ^ { 6 } ) ( 11 g h ^ { 8 } )$$

Evaluate

$$110g^{4}v^{6}h^{16}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$10g^{4}h^{8}v^{6}\times 11h^{8}$$

To multiply powers of the same base, add their exponents. Add 8 and 8 to get 16.

$$10g^{4}h^{16}v^{6}\times 11$$

Multiply 10 and 11 to get 110.

$$110g^{4}h^{16}v^{6}$$

Differentiate w.r.t. v

$$660g^{4}v^{5}h^{16}$$