Solve 2x^2+9x^-5/2x^-1

$$\frac { 2 x ^ { 2 } + 9 x ^ { - 5 } } { 2 x ^ { - 1 } }$$

Evaluate

$$x^{3}+\frac{9}{2x^{4}}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x^{-5}\left(2x^{7}+9\right)}{2\times \frac{1}{x}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2x^{7}+9}{2x^{4}}$$

Expand

$$x^{3}+\frac{9}{2x^{4}}$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{x^{-5}\left(2x^{7}+9\right)}{2\times \frac{1}{x}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2x^{7}+9}{2x^{4}}$$