Solve -8x^4/9x^6*81x^8/64x

$$\frac { - 8 x ^ { 4 } } { 9 x ^ { 6 } } \cdot \frac { 81 x ^ { 8 } } { 64 x }$$

Evaluate

$$-\frac{9x^{5}}{8}$$

Solution Steps

Cancel out x^{4} in both numerator and denominator.

$$\frac{-8}{9x^{2}}\times \frac{81x^{8}}{64x}$$

Cancel out x in both numerator and denominator.

$$\frac{-8}{9x^{2}}\times \frac{81x^{7}}{64}$$

Multiply \frac{-8}{9x^{2}} times \frac{81x^{7}}{64} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-8\times 81x^{7}}{9x^{2}\times 64}$$

Cancel out 8\times 9x^{2} in both numerator and denominator.

$$\frac{-9x^{5}}{8}$$

Differentiate w.r.t. x

$$-\frac{45x^{4}}{8}$$