Solve 3u^-3v^-3*-uv^2

$$3 u ^ { - 3 } v ^ { - 3 } \cdot - u v ^ { 2 }$$

Evaluate

$$-\frac{3}{vu^{2}}$$

Solution Steps

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

$$3u^{-3}v^{-1}\left(-u\right)$$

Multiply 3 and -1 to get -3.

$$-3u^{-3}v^{-1}u$$

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

$$-3u^{-2}v^{-1}$$

Differentiate w.r.t. u

$$\frac{6}{vu^{3}}$$