Solve {left(1+00.089/2right)}^6

$${ \left(1+0 \frac{ 0.089 }{ 2 } \right) }^{ 6 }$$

Evaluate

$$1.298526048127416858765625$$

Solution Steps

Multiply 0 and 2 to get 0.

$$\left(1+\frac{0+0.089}{2}\right)^{6}$$

Add 0 and 0.089 to get 0.089.

$$\left(1+\frac{0.089}{2}\right)^{6}$$

Expand \frac{0.089}{2} by multiplying both numerator and the denominator by 1000.

$$\left(1+\frac{89}{2000}\right)^{6}$$

Add 1 and \frac{89}{2000} to get \frac{2089}{2000}.

$$\left(\frac{2089}{2000}\right)^{6}$$

Calculate \frac{2089}{2000} to the power of 6 and get \frac{83105667080154678961}{64000000000000000000}.

$$\frac{83105667080154678961}{64000000000000000000}$$

Factor

$$\frac{2089 ^ {6}}{2 ^ {24} \cdot 5 ^ {18}} = 1\frac{1.9105667080154678 \times 10^{19}}{6.4 \times 10^{19}} = 1.2985260481274168$$