Solve (1+0.005/12)^11

$$( \frac { 1 + 0.005 } { 12 } ) ^ { 11 }$$

Evaluate

$$0.0000000000014217818726898172996356151998043060302734375$$

Solution Steps

Add 1 and 0.005 to get 1.005.

$$\left(\frac{1.005}{12}\right)^{11}$$

Expand \frac{1.005}{12} by multiplying both numerator and the denominator by 1000.

$$\left(\frac{1005}{12000}\right)^{11}$$

Reduce the fraction \frac{1005}{12000} to lowest terms by extracting and canceling out 15.

$$\left(\frac{67}{800}\right)^{11}$$

Calculate \frac{67}{800} to the power of 11 and get \frac{122130132904968017083}{85899345920000000000000000000000}.

$$\frac{122130132904968017083}{85899345920000000000000000000000}$$

Factor

$$\frac{67 ^ {11}}{2 ^ {55} \cdot 5 ^ {22}} = 1.4217818726898173 \times 10^{-12}$$