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

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

Arvuta

$$\frac{138053459280490080788162400125}{67108864}=2,05715685 \cdot 10^{21}$$

Lahenduse etapid

Taandage murd \frac{10}{4} vähimale ühiskordsele, eraldades ja taandades arvu 2.

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

Liitke 1 ja \frac{5}{2}, et leida \frac{7}{2}.

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

Korrutage 4 ja 8, et leida 32.

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

Arvutage 32 aste \frac{7}{2} ja leidke \frac{1104427674243920646305299201}{4294967296}.

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

Korrutage 8000 ja \frac{1104427674243920646305299201}{4294967296}, et leida \frac{138053459280490080788162400125}{67108864}.

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

Lahuta teguriteks

$$\frac{5 ^ {3} \cdot 7 ^ {32}}{2 ^ {26}} = 2,057156850106866 \times 10^{21}$$