Solve 15left(1+0.55div2right)^(2)(8)

$$15 { \left(1+0.55 \div 2 \right) }^{ (2)(8) }$$

Evaluate

$$731.567182880581255226384662440977990627288818359375$$

Solution Steps

Expand \frac{0.55}{2} by multiplying both numerator and the denominator by 100.

$$15\left(1+\frac{55}{200}\right)^{2\times 8}$$

Reduce the fraction \frac{55}{200} to lowest terms by extracting and canceling out 5.

$$15\left(1+\frac{11}{40}\right)^{2\times 8}$$

Add 1 and \frac{11}{40} to get \frac{51}{40}.

$$15\times \left(\frac{51}{40}\right)^{2\times 8}$$

Multiply 2 and 8 to get 16.

$$15\times \left(\frac{51}{40}\right)^{16}$$

Calculate \frac{51}{40} to the power of 16 and get \frac{2094704750199298376445300801}{42949672960000000000000000}.

$$15\times \frac{2094704750199298376445300801}{42949672960000000000000000}$$

Multiply 15 and \frac{2094704750199298376445300801}{42949672960000000000000000} to get \frac{6284114250597895129335902403}{8589934592000000000000000}.

$$\frac{6284114250597895129335902403}{8589934592000000000000000}$$

Factor

$$\frac{3 ^ {17} \cdot 17 ^ {16}}{2 ^ {48} \cdot 5 ^ {15}} = 731\frac{4.872063845895068 \times 10^{24}}{8.589934592 \times 10^{24}} = 731.5671828805813$$