Solve (1.07)^20-(1.07)^10/0.07

$$\frac { ( 1.07 ) ^ { 20 } - ( 1.07 ) ^ { 10 } } { 0.07 }$$

Evaluate

$$27.17904435995162515352200448355339571143$$

Solution Steps

Calculate 1.07 to the power of 20 and get 3.8696844624861790832365403138487376998001.

$$\frac{3.8696844624861790832365403138487376998001-1.07^{10}}{0.07}$$

Calculate 1.07 to the power of 10 and get 1.96715135728956532249.

$$\frac{3.8696844624861790832365403138487376998001-1.96715135728956532249}{0.07}$$

Subtract 1.96715135728956532249 from 3.8696844624861790832365403138487376998001 to get 1.9025331051966137607465403138487376998001.

$$\frac{1.9025331051966137607465403138487376998001}{0.07}$$

Expand \frac{1.9025331051966137607465403138487376998001}{0.07} by multiplying both numerator and the denominator by 10000000000000000000000000000000000000000.

$$\frac{19025331051966137607465403138487376998001}{700000000000000000000000000000000000000}$$

Reduce the fraction \frac{19025331051966137607465403138487376998001}{700000000000000000000000000000000000000} to lowest terms by extracting and canceling out 7.

$$\frac{2717904435995162515352200448355339571143}{100000000000000000000000000000000000000}$$

Factor

$$\frac{11 \cdot 23 \cdot 31 \cdot 41 \cdot 61 \cdot 101 \cdot 3011 \cdot 257351 \cdot 3 ^ {2} \cdot 107 ^ {10}}{2 ^ {38} \cdot 5 ^ {38}} = 27\frac{1.7904435995162602 \times 10^{37}}{1 \times 10^{38}} = 27.179044359951625$$