Solve =20(1-45^19/1-4/5)

$$= 20 ( \frac { 1 - 45 ^ { 19 } } { 1 - 4 / 5 } )$$

Evaluate

$$-2576545176835998704910278320312400$$

Solution Steps

Calculate 45 to the power of 19 and get 25765451768359987049102783203125.

$$20\times \frac{1-25765451768359987049102783203125}{1-\frac{4}{5}}$$

Subtract 25765451768359987049102783203125 from 1 to get -25765451768359987049102783203124.

$$20\times \frac{-25765451768359987049102783203124}{1-\frac{4}{5}}$$

Convert 1 to fraction \frac{5}{5}.

$$20\times \frac{-25765451768359987049102783203124}{\frac{5}{5}-\frac{4}{5}}$$

Since \frac{5}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$20\times \frac{-25765451768359987049102783203124}{\frac{5-4}{5}}$$

Subtract 4 from 5 to get 1.

$$20\times \frac{-25765451768359987049102783203124}{\frac{1}{5}}$$

Divide -25765451768359987049102783203124 by \frac{1}{5} by multiplying -25765451768359987049102783203124 by the reciprocal of \frac{1}{5}.

$$20\left(-25765451768359987049102783203124\right)\times 5$$

Multiply -25765451768359987049102783203124 and 5 to get -128827258841799935245513916015620.

$$20\left(-128827258841799935245513916015620\right)$$

Multiply 20 and -128827258841799935245513916015620 to get -2576545176835998704910278320312400.

$$-2576545176835998704910278320312400$$

Factor

$$-2576545176835998704910278320312400$$