Solve frac{-2gh^{3}*8g^2h^2}{16g^2h^4}

$$\frac { - 2 g h ^ { 3 } \times 8 g ^ { 2 } h ^ { 2 } } { 16 g ^ { 2 } h ^ { 4 } }$$

Evaluate

$$-gh$$

Solution Steps

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

$$\frac{-2g^{3}h^{3}\times 8h^{2}}{16g^{2}h^{4}}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{-2g^{3}h^{5}\times 8}{16g^{2}h^{4}}$$

Cancel out 2\times 8g^{2}h^{4} in both numerator and denominator.

$$-gh$$

Differentiate w.r.t. h

$$-g$$