Solve 20--4.5/-3^2+-2-1^5

$$20- \frac{ -4.5 }{ { -3 }^{ 2 } } +-2 { -1 }^{ 5 }$$

Evaluate

$$22.5$$

Solution Steps

Calculate -3 to the power of 2 and get 9.

$$20-\frac{-4.5}{9}-2\left(-1\right)^{5}$$

Expand \frac{-4.5}{9} by multiplying both numerator and the denominator by 10.

$$20-\frac{-45}{90}-2\left(-1\right)^{5}$$

Reduce the fraction \frac{-45}{90} to lowest terms by extracting and canceling out 45.

$$20-\left(-\frac{1}{2}\right)-2\left(-1\right)^{5}$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$20+\frac{1}{2}-2\left(-1\right)^{5}$$

Convert 20 to fraction \frac{40}{2}.

$$\frac{40}{2}+\frac{1}{2}-2\left(-1\right)^{5}$$

Since \frac{40}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{40+1}{2}-2\left(-1\right)^{5}$$

Add 40 and 1 to get 41.

$$\frac{41}{2}-2\left(-1\right)^{5}$$

Calculate -1 to the power of 5 and get -1.

$$\frac{41}{2}-2\left(-1\right)$$

Multiply -2 and -1 to get 2.

$$\frac{41}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{41}{2}+\frac{4}{2}$$

Since \frac{41}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{41+4}{2}$$

Add 41 and 4 to get 45.

$$\frac{45}{2}$$

Factor

$$\frac{5 \cdot 3 ^ {2}}{2} = 22\frac{1}{2} = 22.5$$