Solve 3cmquadtext{b}5cmquadtext{c}6.5

$$3 cm \quad \text { b } 5 cm \quad \text { c } 6.5$$

Evaluate

$$\frac{195bm^{2}c^{3}}{2}$$

Solution Steps

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

$$3c^{2}mb\times 5mc\times 6.5$$

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

$$3c^{3}mb\times 5m\times 6.5$$

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

$$3c^{3}m^{2}b\times 5\times 6.5$$

Multiply 3 and 5 to get 15.

$$15c^{3}m^{2}b\times 6.5$$

Multiply 15 and 6.5 to get 97.5.

$$97.5c^{3}m^{2}b$$

Differentiate w.r.t. b

$$\frac{195m^{2}c^{3}}{2}$$