Solve 27u^2v^3/i18u^4v^5=

$$\frac { 27 u ^ { 2 } v ^ { 3 } } { i 18 u ^ { 4 } v ^ { 5 } } =$$

Evaluate

$$\frac{-3i}{2\left(uv\right)^{2}}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{27^{1}u^{2}v^{3}}{\left(18i\right)^{1}u^{4}v^{5}}$$

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

$$\frac{27^{1}}{\left(18i\right)^{1}}u^{2-4}v^{3-5}$$

Subtract 4 from 2.

$$\frac{27^{1}}{\left(18i\right)^{1}}u^{-2}v^{3-5}$$

Subtract 5 from 3.

$$\frac{27^{1}}{\left(18i\right)^{1}}\times \frac{1}{u^{2}}v^{-2}$$

Divide 27 by 18i.

$$-\frac{3}{2}i\times \frac{1}{u^{2}}\times \frac{1}{v^{2}}$$