a1-1/8^6/1-frac{1{3^2}}=2457 eching

$$a \frac { 1 - \frac { 1 } { 8 ^ { 6 } } } { 1 - \frac { 1 } { 3 ^ { 2 } } } = 2457$$

a uchun yechish

$$a = \frac{27262976}{12483} = 2184\frac{104}{12483} \approx 2184,008331331$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

6 daraja ko‘rsatkichini 8 ga hisoblang va 262144 ni qiymatni oling.

$$a\times \frac{1-\frac{1}{262144}}{1-\frac{1}{3^{2}}}=2457$$

1 ni \frac{262144}{262144} kasrga o‘giring.

$$a\times \frac{\frac{262144}{262144}-\frac{1}{262144}}{1-\frac{1}{3^{2}}}=2457$$

\frac{262144}{262144} va \frac{1}{262144} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$a\times \frac{\frac{262144-1}{262144}}{1-\frac{1}{3^{2}}}=2457$$

262143 olish uchun 262144 dan 1 ni ayirish.

$$a\times \frac{\frac{262143}{262144}}{1-\frac{1}{3^{2}}}=2457$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$a\times \frac{\frac{262143}{262144}}{1-\frac{1}{9}}=2457$$

1 ni \frac{9}{9} kasrga o‘giring.

$$a\times \frac{\frac{262143}{262144}}{\frac{9}{9}-\frac{1}{9}}=2457$$

\frac{9}{9} va \frac{1}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$a\times \frac{\frac{262143}{262144}}{\frac{9-1}{9}}=2457$$

8 olish uchun 9 dan 1 ni ayirish.

$$a\times \frac{\frac{262143}{262144}}{\frac{8}{9}}=2457$$

\frac{262143}{262144} ni \frac{8}{9} ga bo'lish \frac{262143}{262144} ga k'paytirish \frac{8}{9} ga qaytarish.

$$a\times \frac{262143}{262144}\times \frac{9}{8}=2457$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{262143}{262144} ni \frac{9}{8} ga ko‘paytiring.

$$a\times \frac{262143\times 9}{262144\times 8}=2457$$

\frac{262143\times 9}{262144\times 8} kasridagi ko‘paytirishlarni bajaring.

$$a\times \frac{2359287}{2097152}=2457$$

Ikki tarafini \frac{2097152}{2359287} va teskari kasri \frac{2359287}{2097152} ga ko‘paytiring.

$$a=2457\times \frac{2097152}{2359287}$$

2457\times \frac{2097152}{2359287} ni yagona kasrga aylantiring.

$$a=\frac{2457\times 2097152}{2359287}$$

5152702464 hosil qilish uchun 2457 va 2097152 ni ko'paytirish.

$$a=\frac{5152702464}{2359287}$$

\frac{5152702464}{2359287} ulushini 189 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$a=\frac{27262976}{12483}$$