Solve 4(-5)^4-9(-5)^3-7(-5)^2+2(-5)-6

$$4 ( - 5 ) ^ { 4 } - 9 ( - 5 ) ^ { 3 } - 7 ( - 5 ) ^ { 2 } + 2 ( - 5 ) - 6$$

Evaluate

$$3434$$

Solution Steps

Calculate -5 to the power of 4 and get 625.

$$4\times 625-9\left(-5\right)^{3}-7\left(-5\right)^{2}+2\left(-5\right)-6$$

Multiply 4 and 625 to get 2500.

$$2500-9\left(-5\right)^{3}-7\left(-5\right)^{2}+2\left(-5\right)-6$$

Calculate -5 to the power of 3 and get -125.

$$2500-9\left(-125\right)-7\left(-5\right)^{2}+2\left(-5\right)-6$$

Multiply 9 and -125 to get -1125.

$$2500-\left(-1125\right)-7\left(-5\right)^{2}+2\left(-5\right)-6$$

The opposite of -1125 is 1125.

$$2500+1125-7\left(-5\right)^{2}+2\left(-5\right)-6$$

Add 2500 and 1125 to get 3625.

$$3625-7\left(-5\right)^{2}+2\left(-5\right)-6$$

Calculate -5 to the power of 2 and get 25.

$$3625-7\times 25+2\left(-5\right)-6$$

Multiply 7 and 25 to get 175.

$$3625-175+2\left(-5\right)-6$$

Subtract 175 from 3625 to get 3450.

$$3450+2\left(-5\right)-6$$

Multiply 2 and -5 to get -10.

$$3450-10-6$$

Subtract 10 from 3450 to get 3440.

$$3440-6$$

Subtract 6 from 3440 to get 3434.

$$3434$$

Factor

$$2\times 17\times 101$$