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

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

Evaluate

$$\frac{138053459280490080788162400125}{67108864}=2.05715685 \cdot 10^{21}$$

Solution Steps

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$8000\left(1+\frac{5}{2}\right)^{4\times 8}$$

Add 1 and \frac{5}{2} to get \frac{7}{2}.

$$8000\times \left(\frac{7}{2}\right)^{4\times 8}$$

Multiply 4 and 8 to get 32.

$$8000\times \left(\frac{7}{2}\right)^{32}$$

Calculate \frac{7}{2} to the power of 32 and get \frac{1104427674243920646305299201}{4294967296}.

$$8000\times \frac{1104427674243920646305299201}{4294967296}$$

Multiply 8000 and \frac{1104427674243920646305299201}{4294967296} to get \frac{138053459280490080788162400125}{67108864}.

$$\frac{138053459280490080788162400125}{67108864}$$

Factor

$$\frac{5 ^ {3} \cdot 7 ^ {32}}{2 ^ {26}} = 2.057156850106866 \times 10^{21}$$