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

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

I-evaluate

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

Mga Hakbang ng Solution

Bawasan ang fraction \frac{10}{4} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

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

Idagdag ang 1 at \frac{5}{2} para makuha ang \frac{7}{2}.

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

I-multiply ang 4 at 8 para makuha ang 32.

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

Kalkulahin ang \frac{7}{2} sa power ng 32 at kunin ang \frac{1104427674243920646305299201}{4294967296}.

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

I-multiply ang 8000 at \frac{1104427674243920646305299201}{4294967296} para makuha ang \frac{138053459280490080788162400125}{67108864}.

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

I-factor

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