Solve (-2)^4-(0,5)^2:(+0,1)^3-(-5)^3

$$( - 2 ) ^ { 4 } - ( 0,5 ) ^ { 2 } : ( + 0,1 ) ^ { 3 } - ( - 5 ) ^ { 3 }$$

Evaluate

$$-109$$

Solution Steps

Calculate -2 to the power of 4 and get 16.

$$16-\frac{0,5^{2}}{0,1^{3}}-\left(-5\right)^{3}$$

Calculate 0,5 to the power of 2 and get 0,25.

$$16-\frac{0,25}{0,1^{3}}-\left(-5\right)^{3}$$

Calculate 0,1 to the power of 3 and get 0,001.

$$16-\frac{0,25}{0,001}-\left(-5\right)^{3}$$

Expand \frac{0,25}{0,001} by multiplying both numerator and the denominator by 1000. Anything divided by one gives itself.

$$16-250-\left(-5\right)^{3}$$

Subtract 250 from 16 to get -234.

$$-234-\left(-5\right)^{3}$$

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

$$-234-\left(-125\right)$$

The opposite of -125 is 125.

$$-234+125$$

Add -234 and 125 to get -109.

$$-109$$

Factor

$$-109$$