Solve 8000({left(1+.10/4right)}^4*8

$$8000( { \left(1+ \frac{ .10 }{ 4 } \right) }^{ 4 \times 8 }$$

Evaluate

$$17630.055502182457021287162311143369465069400673479242842855985173855515313334763050079345703125$$

Solution Steps

Expand \frac{0.1}{4} by multiplying both numerator and the denominator by 10.

$$8000\left(1+\frac{1}{40}\right)^{4\times 8}$$

Add 1 and \frac{1}{40} to get \frac{41}{40}.

$$8000\times \left(\frac{41}{40}\right)^{4\times 8}$$

Multiply 4 and 8 to get 32.

$$8000\times \left(\frac{41}{40}\right)^{32}$$

Calculate \frac{41}{40} to the power of 32 and get \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}.

$$8000\times \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000}$$

Multiply 8000 and \frac{4065214023175683899921868126254722311886802750234881}{1844674407370955161600000000000000000000000000000000} to get \frac{4065214023175683899921868126254722311886802750234881}{230584300921369395200000000000000000000000000000}.

$$\frac{4065214023175683899921868126254722311886802750234881}{230584300921369395200000000000000000000000000000}$$

Factor

$$\frac{41 ^ {32}}{2 ^ {90} \cdot 5 ^ {29}} = 17630\frac{1.2797931941781906 \times 10^{46}}{2.3058430092136937 \times 10^{47}} = 17630.05550218246$$