Solve a^2b^-2*a^-4b^5

$$a ^ { 2 } b ^ { - 2 } \times a ^ { - 4 } b ^ { 5 }$$

Evaluate

$$\frac{b^{3}}{a^{2}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and -4 to get -2.

$$a^{-2}b^{-2}b^{5}$$

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

$$a^{-2}b^{3}$$

Differentiate w.r.t. a

$$-2\times \left(\frac{b}{a}\right)^{3}$$