Solve 5^5-5^4-5^3-5^2-5

$${ 5 }^{ 5 } - { 5 }^{ 4 } - { 5 }^{ 3 } - { 5 }^{ 2 } -5$$

Evaluate

$$2345$$

Solution Steps

Calculate 5 to the power of 5 and get 3125.

$$3125-5^{4}-5^{3}-5^{2}-5$$

Calculate 5 to the power of 4 and get 625.

$$3125-625-5^{3}-5^{2}-5$$

Subtract 625 from 3125 to get 2500.

$$2500-5^{3}-5^{2}-5$$

Calculate 5 to the power of 3 and get 125.

$$2500-125-5^{2}-5$$

Subtract 125 from 2500 to get 2375.

$$2375-5^{2}-5$$

Calculate 5 to the power of 2 and get 25.

$$2375-25-5$$

Subtract 25 from 2375 to get 2350.

$$2350-5$$

Subtract 5 from 2350 to get 2345.

$$2345$$

Factor

$$5\times 7\times 67$$