Solve (1-1div1.75^25)*5000

$$( 1 - 1 \div 1.75 ^ { 25 } ) \times 5000$$

Evaluate

$$\frac{6705337468820290290915000}{1341068619663964900807}\approx 4999.995802229$$

Solution Steps

Calculate 1.75 to the power of 25 and get 1191108.20732256863579490158144835731945931911468505859375.

$$\left(1-\frac{1}{1191108.20732256863579490158144835731945931911468505859375}\right)\times 5000$$

Expand \frac{1}{1191108.20732256863579490158144835731945931911468505859375} by multiplying both numerator and the denominator by 100000000000000000000000000000000000000000000000000.

$$\left(1-\frac{100000000000000000000000000000000000000000000000000}{119110820732256863579490158144835731945931911468505859375}\right)\times 5000$$

Reduce the fraction \frac{100000000000000000000000000000000000000000000000000}{119110820732256863579490158144835731945931911468505859375} to lowest terms by extracting and canceling out 88817841970012523233890533447265625.

$$\left(1-\frac{1125899906842624}{1341068619663964900807}\right)\times 5000$$

Convert 1 to fraction \frac{1341068619663964900807}{1341068619663964900807}.

$$\left(\frac{1341068619663964900807}{1341068619663964900807}-\frac{1125899906842624}{1341068619663964900807}\right)\times 5000$$

Since \frac{1341068619663964900807}{1341068619663964900807} and \frac{1125899906842624}{1341068619663964900807} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1341068619663964900807-1125899906842624}{1341068619663964900807}\times 5000$$

Subtract 1125899906842624 from 1341068619663964900807 to get 1341067493764058058183.

$$\frac{1341067493764058058183}{1341068619663964900807}\times 5000$$

Express \frac{1341067493764058058183}{1341068619663964900807}\times 5000 as a single fraction.

$$\frac{1341067493764058058183\times 5000}{1341068619663964900807}$$

Multiply 1341067493764058058183 and 5000 to get 6705337468820290290915000.

$$\frac{6705337468820290290915000}{1341068619663964900807}$$

Factor

$$\frac{3 \cdot 5261 \cdot 15901 \cdot 67751 \cdot 78871651 \cdot 2 ^ {3} \cdot 5 ^ {4}}{7 ^ {25}} = 4999\frac{1.335439120130146 \times 10^{21}}{1.341068619663965 \times 10^{21}} = 4999.995802228573$$