Solve 5^2-5*5^0+5^3div5^2

$${ 5 }^{ 2 } -5 \times { 5 }^{ 0 } + { 5 }^{ 3 } \div { 5 }^{ 2 }$$

Evaluate

$$25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 0 to get 1.

$$5^{2}-5^{1}+\frac{5^{3}}{5^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$5^{2}-5^{1}+5^{1}$$

Calculate 5 to the power of 2 and get 25.

$$25-5^{1}+5^{1}$$

Calculate 5 to the power of 1 and get 5.

$$25-5+5^{1}$$

Subtract 5 from 25 to get 20.

$$20+5^{1}$$

Calculate 5 to the power of 1 and get 5.

$$20+5$$

Add 20 and 5 to get 25.

$$25$$

Factor

$$5^{2}$$