Solve (16.5d^2eg)(3de^2t^2)

$$( 16.5 d ^ { 2 } e g ) ( 3 d e ^ { 2 } t ^ { 2 } )$$

Evaluate

$$\frac{99gt^{2}\left(ed\right)^{3}}{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$16.5d^{3}eg\times 3e^{2}t^{2}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$16.5d^{3}e^{3}g\times 3t^{2}$$

Multiply 16.5 and 3 to get 49.5.

$$49.5d^{3}e^{3}gt^{2}$$

Differentiate w.r.t. g

$$\frac{99t^{2}\left(ed\right)^{3}}{2}$$