Solve 9634*1.006*(1-1.004^10)/1-1.006

$$9634 \times \frac { 1.006 \times ( 1 - 1.004 ^ { 10 } ) } { 1 - 1.006 }$$

Evaluate

$$65787.535912568210698392996291805184$$

Solution Steps

Calculate 1.004 to the power of 10 and get 1.040727734018910129031742488576.

$$9634\times \frac{1.006\left(1-1.040727734018910129031742488576\right)}{1-1.006}$$

Subtract 1.040727734018910129031742488576 from 1 to get -0.040727734018910129031742488576.

$$9634\times \frac{1.006\left(-0.040727734018910129031742488576\right)}{1-1.006}$$

Multiply 1.006 and -0.040727734018910129031742488576 to get -0.040972100423023589805932943507456.

$$9634\times \frac{-0.040972100423023589805932943507456}{1-1.006}$$

Subtract 1.006 from 1 to get -0.006.

$$9634\times \frac{-0.040972100423023589805932943507456}{-0.006}$$

Expand \frac{-0.040972100423023589805932943507456}{-0.006} by multiplying both numerator and the denominator by 1000000000000000000000000000000000.

$$9634\times \frac{-40972100423023589805932943507456}{-6000000000000000000000000000000}$$

Reduce the fraction \frac{-40972100423023589805932943507456}{-6000000000000000000000000000000} to lowest terms by extracting and canceling out -6291456.

$$9634\times \frac{6512339977109208076148501}{953674316406250000000000}$$

Express 9634\times \frac{6512339977109208076148501}{953674316406250000000000} as a single fraction.

$$\frac{9634\times 6512339977109208076148501}{953674316406250000000000}$$

Multiply 9634 and 6512339977109208076148501 to get 62739883339470110605614658634.

$$\frac{62739883339470110605614658634}{953674316406250000000000}$$

Reduce the fraction \frac{62739883339470110605614658634}{953674316406250000000000} to lowest terms by extracting and canceling out 2.

$$\frac{31369941669735055302807329317}{476837158203125000000000}$$

Factor

$$\frac{11 \cdot 61 \cdot 167 \cdot 503 \cdot 571 \cdot 2141 \cdot 2741 \cdot 4817 \cdot 34480081}{2 ^ {9} \cdot 5 ^ {30}} = 65787\frac{2.555430260718322 \times 10^{23}}{4.76837158203125 \times 10^{23}} = 65787.53591256822$$