Solve (x^2b^2)^-1

$$( x ^ { 2 } b ^ { 2 } ) ^ { - 1 }$$

Evaluate

$$\frac{1}{\left(bx\right)^{2}}$$

Solution Steps

Use the rules of exponents to simplify the expression.

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

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

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

Differentiate w.r.t. x

$$-\frac{2}{b^{2}x^{3}}$$