Solve 156cm^2quadtext{(c)}144cm^2quadtext{(d)}192cm^2

$$156 cm ^ { 2 } \quad \text { (c) } 144 cm ^ { 2 } \quad \text { (d) } 192 cm ^ { 2 }$$

Evaluate

$$4313088dc^{4}m^{6}$$

Solution Steps

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

$$156c^{2}m^{2}\times 144cm^{2}d\times 192cm^{2}$$

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

$$156c^{3}m^{2}\times 144m^{2}d\times 192cm^{2}$$

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

$$156c^{4}m^{2}\times 144m^{2}d\times 192m^{2}$$

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

$$156c^{4}m^{4}\times 144d\times 192m^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$156c^{4}m^{6}\times 144d\times 192$$

Multiply 156 and 144 to get 22464.

$$22464c^{4}m^{6}d\times 192$$

Multiply 22464 and 192 to get 4313088.

$$4313088c^{4}m^{6}d$$

Differentiate w.r.t. d

$$4313088c^{4}m^{6}$$