Solve 8x/15div10/8x^2=

$$\frac { 8 x } { 15 } \div \frac { 10 } { 8 x ^ { 2 } } =$$

Evaluate

$$\frac{32x^{3}}{75}$$

Solution Steps

Divide \frac{8x}{15} by \frac{10}{8x^{2}} by multiplying \frac{8x}{15} by the reciprocal of \frac{10}{8x^{2}}.

$$\frac{8x\times 8x^{2}}{15\times 10}$$

Cancel out 2 in both numerator and denominator.

$$\frac{4\times 8xx^{2}}{5\times 15}$$

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

$$\frac{4\times 8x^{3}}{5\times 15}$$

Multiply 4 and 8 to get 32.

$$\frac{32x^{3}}{5\times 15}$$

Multiply 5 and 15 to get 75.

$$\frac{32x^{3}}{75}$$

Differentiate w.r.t. x

$$\frac{32x^{2}}{25}$$