Solve [(-5)^3]^2div[(-5)^2]^2

$$[ ( - 5 ) ^ { 3 } ] ^ { 2 } \div [ ( - 5 ) ^ { 2 } ] ^ { 2 }$$

Evaluate

$$25$$

Solution Steps

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

$$\frac{\left(-5\right)^{6}}{\left(\left(-5\right)^{2}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{\left(-5\right)^{6}}{\left(-5\right)^{4}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 6 to get 2.

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

Calculate -5 to the power of 2 and get 25.

$$25$$

Factor

$$5^{2}$$