7^13:7^11text{ede}2^-42^5? eching

$$7 ^ { 13 } : 7 ^ { 11 } \text { e de } 2 ^ { - 4 } 2 ^ { 5 } ?$$

Baholash

$$98e^{2}d$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 13 dan 11 ni ayirib, 2 ni oling.

$$7^{2}ede\times 2^{-4}\times 2^{5}$$

e^{2} hosil qilish uchun e va e ni ko'paytirish.

$$7^{2}e^{2}d\times 2^{-4}\times 2^{5}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -4 va 5 ni qo‘shib, 1 ni oling.

$$7^{2}e^{2}d\times 2^{1}$$

2 daraja ko‘rsatkichini 7 ga hisoblang va 49 ni qiymatni oling.

$$49e^{2}d\times 2^{1}$$

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

$$49e^{2}d\times 2$$

98 hosil qilish uchun 49 va 2 ni ko'paytirish.

$$98e^{2}d$$

d ga nisbatan hosilani topish

$$98e^{2}$$