Solve 5^5-5^4+5^3:7

$$5 ^ { 5 } - 5 ^ { 4 } + 5 ^ { 3 } : 7$$

Evaluate

$$\frac{17625}{7}\approx 2517.857142857$$

Solution Steps

Calculate 5 to the power of 5 and get 3125.

$$3125-5^{4}+\frac{5^{3}}{7}$$

Calculate 5 to the power of 4 and get 625.

$$3125-625+\frac{5^{3}}{7}$$

Subtract 625 from 3125 to get 2500.

$$2500+\frac{5^{3}}{7}$$

Calculate 5 to the power of 3 and get 125.

$$2500+\frac{125}{7}$$

Convert 2500 to fraction \frac{17500}{7}.

$$\frac{17500}{7}+\frac{125}{7}$$

Since \frac{17500}{7} and \frac{125}{7} have the same denominator, add them by adding their numerators.

$$\frac{17500+125}{7}$$

Add 17500 and 125 to get 17625.

$$\frac{17625}{7}$$

Factor

$$\frac{3 \cdot 5 ^ {3} \cdot 47}{7} = 2517\frac{6}{7} = 2517.8571428571427$$