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

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

Baholash

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

Yechim qadamlari

\frac{10}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

\frac{7}{2} olish uchun 1 va \frac{5}{2}'ni qo'shing.

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

32 hosil qilish uchun 4 va 8 ni ko'paytirish.

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

32 daraja ko‘rsatkichini \frac{7}{2} ga hisoblang va \frac{1104427674243920646305299201}{4294967296} ni qiymatni oling.

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

\frac{138053459280490080788162400125}{67108864} hosil qilish uchun 8000 va \frac{1104427674243920646305299201}{4294967296} ni ko'paytirish.

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

Omil

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