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

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

Evaluate

$$-229$$

Solution Steps

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

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

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

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

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

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

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

$$16-250-\left(-5\right)$$

Subtract 250 from 16 to get -234.

$$-234-\left(-5\right)$$

The opposite of -5 is 5.

$$-234+5$$

Add -234 and 5 to get -229.

$$-229$$

Factor

$$-229$$