Solve 1/a^2b

$$\frac { 1 } { a ^ { 2 } b }$$

Evaluate

$$\frac{1}{ba^{2}}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\frac{1}{a^{2}b^{1}}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\frac{1}{a^{2}}\times \frac{1}{b^{1}}$$

To raise a power to another power, multiply the exponents.

$$a^{2\left(-1\right)}\times \frac{1}{b}$$

Multiply 2 times -1.

$$\frac{1}{a^{2}}\times \frac{1}{b}$$

Differentiate w.r.t. a

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