Solve 5^5/5^3+3^2/5^0

$$\frac { 5 ^ { 5 } } { 5 ^ { 3 } } + \frac { 3 ^ { 2 } } { 5 ^ { 0 } }$$

Evaluate

$$34$$

Solution Steps

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

$$5^{2}+\frac{3^{2}}{5^{0}}$$

Calculate 5 to the power of 2 and get 25.

$$25+\frac{3^{2}}{5^{0}}$$

Calculate 3 to the power of 2 and get 9.

$$25+\frac{9}{5^{0}}$$

Calculate 5 to the power of 0 and get 1.

$$25+\frac{9}{1}$$

Anything divided by one gives itself.

$$25+9$$

Add 25 and 9 to get 34.

$$34$$

Factor

$$2\times 17$$