Solve left(5^3right)^(5^2)/5^2

$$\frac{ { \left( { 5 }^{ 3 } \right) }^{ } ( { 5 }^{ 2 } ) }{ { 5 }^{ 2 } }$$

Evaluate

$$125$$

Solution Steps

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

$$\frac{5^{3}\times 5^{2}}{5^{2}}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\frac{5^{5}}{5^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 5 to get 3.

$$5^{3}$$

Calculate 5 to the power of 3 and get 125.

$$125$$

Factor

$$5^{3}$$