Solve (-5)^3*(-5)^38/[(-5)^2]^20

$$\frac { ( - 5 ) ^ { 3 } \cdot ( - 5 ) ^ { 38 } } { [ ( - 5 ) ^ { 2 } ] ^ { 20 } }$$

Evaluate

$$-5$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 38 to get 41.

$$\frac{\left(-5\right)^{41}}{\left(\left(-5\right)^{2}\right)^{20}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 20 to get 40.

$$\frac{\left(-5\right)^{41}}{\left(-5\right)^{40}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 40 from 41 to get 1.

$$\left(-5\right)^{1}$$

Calculate -5 to the power of 1 and get -5.

$$-5$$

Factor

$$-5$$