Solve (-0,5^9-1/-0,5-1)*.22=

$$( \frac { - 0,5 ^ { 9 } - 1 } { - 0,5 - 1 } ) \cdot .22 =$$

Evaluate

$$0.146953125$$

Solution Steps

Calculate 0.5 to the power of 9 and get 0.001953125.

$$\frac{-0.001953125-1}{-0.5-1}\times 0.22$$

Subtract 1 from -0.001953125 to get -1.001953125.

$$\frac{-1.001953125}{-0.5-1}\times 0.22$$

Subtract 1 from -0.5 to get -1.5.

$$\frac{-1.001953125}{-1.5}\times 0.22$$

Expand \frac{-1.001953125}{-1.5} by multiplying both numerator and the denominator by 1000000000.

$$\frac{-1001953125}{-1500000000}\times 0.22$$

Reduce the fraction \frac{-1001953125}{-1500000000} to lowest terms by extracting and canceling out -5859375.

$$\frac{171}{256}\times 0.22$$

Convert decimal number 0.22 to fraction \frac{22}{100}. Reduce the fraction \frac{22}{100} to lowest terms by extracting and canceling out 2.

$$\frac{171}{256}\times \frac{11}{50}$$

Multiply \frac{171}{256} times \frac{11}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{171\times 11}{256\times 50}$$

Do the multiplications in the fraction \frac{171\times 11}{256\times 50}.

$$\frac{1881}{12800}$$

Factor

$$\frac{11 \cdot 19 \cdot 3 ^ {2}}{2 ^ {9} \cdot 5 ^ {2}} = 0.146953125$$