Solve (x^5)^2div(x^2)^-3quadE

$$( x ^ { 5 } ) ^ { 2 } \div ( x ^ { 2 } ) ^ { - 3 } \quad E$$

Evaluate

$$Ex^{16}$$

Solution Steps

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

$$\frac{x^{10}}{\left(x^{2}\right)^{-3}}E$$

To raise a power to another power, multiply the exponents. Multiply 2 and -3 to get -6.

$$\frac{x^{10}}{x^{-6}}E$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -6 from 10 to get 16.

$$x^{16}E$$

Differentiate w.r.t. x

$$16Ex^{15}$$