Solve (2ft^3v^2)(8ft^3v^2)=

$$( 2 f t ^ { 3 } v ^ { 2 } ) ( 8 f t ^ { 3 } v ^ { 2 } ) =$$

Evaluate

$$16f^{2}v^{4}t^{6}$$

Solution Steps

Multiply f and f to get f^{2}.

$$2f^{2}t^{3}v^{2}\times 8t^{3}v^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$2f^{2}t^{6}v^{2}\times 8v^{2}$$

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

$$2f^{2}t^{6}v^{4}\times 8$$

Multiply 2 and 8 to get 16.

$$16f^{2}t^{6}v^{4}$$

Differentiate w.r.t. f

$$32fv^{4}t^{6}$$