Solve (b^{8}c^6d^5)(7b^6c^2d)

$$( b ^ { 8 } c ^ { 6 } d ^ { 5 } ) ( 7 b ^ { 6 } c ^ { 2 } d )$$

Evaluate

$$7d^{6}c^{8}b^{14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and 6 to get 14.

$$b^{14}c^{6}d^{5}\times 7c^{2}d$$

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$b^{14}c^{8}d^{5}\times 7d$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$b^{14}c^{8}d^{6}\times 7$$

Differentiate w.r.t. b

$$98d^{6}c^{8}b^{13}$$