Solve 6x^9/3x^3*x^8/9x^6

$$\frac { 6 x ^ { 9 } } { 3 x ^ { 3 } } \times \frac { x ^ { 8 } } { 9 x ^ { 6 } }$$

Evaluate

$$\frac{2x^{8}}{9}$$

Solution Steps

Cancel out 3x^{3} in both numerator and denominator.

$$2x^{6}\times \frac{x^{8}}{9x^{6}}$$

Cancel out x^{6} in both numerator and denominator.

$$2x^{6}\times \frac{x^{2}}{9}$$

Express 2\times \frac{x^{2}}{9} as a single fraction.

$$\frac{2x^{2}}{9}x^{6}$$

Express \frac{2x^{2}}{9}x^{6} as a single fraction.

$$\frac{2x^{2}x^{6}}{9}$$

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$\frac{2x^{8}}{9}$$

Differentiate w.r.t. x

$$\frac{16x^{7}}{9}$$