Solve (-3/2)^2-(-8/2)^5=

$$( \frac { - 3 } { 2 } ) ^ { 2 } - ( \frac { - 8 } { 2 } ) ^ { 5 } =$$

Evaluate

$$\frac{4105}{4}=1026.25$$

Solution Steps

Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

$$\left(-\frac{3}{2}\right)^{2}-\left(\frac{-8}{2}\right)^{5}$$

Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.

$$\frac{9}{4}-\left(\frac{-8}{2}\right)^{5}$$

Divide -8 by 2 to get -4.

$$\frac{9}{4}-\left(-4\right)^{5}$$

Calculate -4 to the power of 5 and get -1024.

$$\frac{9}{4}-\left(-1024\right)$$

The opposite of -1024 is 1024.

$$\frac{9}{4}+1024$$

Add \frac{9}{4} and 1024 to get \frac{4105}{4}.

$$\frac{4105}{4}$$

Factor

$$\frac{5 \cdot 821}{2 ^ {2}} = 1026\frac{1}{4} = 1026.25$$