Solve -(-2)^{3}+(-1)^0-(25-3^2)^1/2-(5^3*85)

$$- ( - 2 ) ^ { 3 } + ( - 1 ) ^ { 0 } - ( 25 - 3 ^ { 2 } ) ^ { 1 / 2 } - ( 5 ^ { 3 } \cdot 85 )$$

Evaluate

$$-10620$$

Solution Steps

Calculate -2 to the power of 3 and get -8.

$$-\left(-8\right)+\left(-1\right)^{0}-\left(25-3^{2}\right)^{\frac{1}{2}}-5^{3}\times 85$$

The opposite of -8 is 8.

$$8+\left(-1\right)^{0}-\left(25-3^{2}\right)^{\frac{1}{2}}-5^{3}\times 85$$

Calculate -1 to the power of 0 and get 1.

$$8+1-\left(25-3^{2}\right)^{\frac{1}{2}}-5^{3}\times 85$$

Add 8 and 1 to get 9.

$$9-\left(25-3^{2}\right)^{\frac{1}{2}}-5^{3}\times 85$$

Calculate 3 to the power of 2 and get 9.

$$9-\left(25-9\right)^{\frac{1}{2}}-5^{3}\times 85$$

Subtract 9 from 25 to get 16.

$$9-16^{\frac{1}{2}}-5^{3}\times 85$$

Calculate 16 to the power of \frac{1}{2} and get 4.

$$9-4-5^{3}\times 85$$

Subtract 4 from 9 to get 5.

$$5-5^{3}\times 85$$

Calculate 5 to the power of 3 and get 125.

$$5-125\times 85$$

Multiply 125 and 85 to get 10625.

$$5-10625$$

Subtract 10625 from 5 to get -10620.

$$-10620$$

Factor

$$-10620$$