Solve (m^3)^-1(x^2)^5

$$( m ^ { 3 } ) ^ { - 1 } ( x ^ { 2 } ) ^ { 5 }$$

Evaluate

$$\frac{x^{10}}{m^{3}}$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and -1 to get -3.

$$m^{-3}\left(x^{2}\right)^{5}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$m^{-3}x^{10}$$

Differentiate w.r.t. x

$$\frac{10x^{9}}{m^{3}}$$