Solve 0.75*(-2)^3-[4div(-2/3)^2+1]-(-1)^20

$$0.75 \times ( - 2 ) ^ { 3 } - [ 4 \div ( - \frac { 2 } { 3 } ) ^ { 2 } + 1 ] - ( - 1 ) ^ { 20 }$$

Evaluate

$$-17$$

Solution Steps

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

$$0.75\left(-8\right)-\left(\frac{4}{\left(-\frac{2}{3}\right)^{2}}+1\right)-\left(-1\right)^{20}$$

Multiply 0.75 and -8 to get -6.

$$-6-\left(\frac{4}{\left(-\frac{2}{3}\right)^{2}}+1\right)-\left(-1\right)^{20}$$

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

$$-6-\left(\frac{4}{\frac{4}{9}}+1\right)-\left(-1\right)^{20}$$

Divide 4 by \frac{4}{9} by multiplying 4 by the reciprocal of \frac{4}{9}.

$$-6-\left(4\times \frac{9}{4}+1\right)-\left(-1\right)^{20}$$

Cancel out 4 and 4.

$$-6-\left(9+1\right)-\left(-1\right)^{20}$$

Add 9 and 1 to get 10.

$$-6-10-\left(-1\right)^{20}$$

Subtract 10 from -6 to get -16.

$$-16-\left(-1\right)^{20}$$

Calculate -1 to the power of 20 and get 1.

$$-16-1$$

Subtract 1 from -16 to get -17.

$$-17$$

Factor

$$-17$$