Solve [(-3/4)^3+(-5/2)^3]+2^3

$$[ ( \frac { - 3 } { 4 } ) ^ { 3 } + ( \frac { - 5 } { 2 } ) ^ { 3 } ] + 2 ^ { 3 }$$

Evaluate

$$-\frac{515}{64}=-8.046875$$

Solution Steps

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$\left(-\frac{3}{4}\right)^{3}+\left(\frac{-5}{2}\right)^{3}+2^{3}$$

Calculate -\frac{3}{4} to the power of 3 and get -\frac{27}{64}.

$$-\frac{27}{64}+\left(\frac{-5}{2}\right)^{3}+2^{3}$$

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$-\frac{27}{64}+\left(-\frac{5}{2}\right)^{3}+2^{3}$$

Calculate -\frac{5}{2} to the power of 3 and get -\frac{125}{8}.

$$-\frac{27}{64}-\frac{125}{8}+2^{3}$$

Subtract \frac{125}{8} from -\frac{27}{64} to get -\frac{1027}{64}.

$$-\frac{1027}{64}+2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$-\frac{1027}{64}+8$$

Add -\frac{1027}{64} and 8 to get -\frac{515}{64}.

$$-\frac{515}{64}$$

Factor

$$-\frac{515}{64} = -8\frac{3}{64} = -8.046875$$