(5a)^3+5a^-1*5^-2a^2 eching

$$( 5 a ) ^ { 3 } + 5 a ^ { - 1 } \times 5 ^ { - 2 } a ^ { 2 }$$

Baholash

$$125a^{3}+\frac{a}{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -2 ni qo‘shib, -1 ni oling.

$$\left(5a\right)^{3}+5^{-1}a^{-1}a^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -1 va 2 ni qo‘shib, 1 ni oling.

$$\left(5a\right)^{3}+5^{-1}a^{1}$$

\left(5a\right)^{3} ni kengaytirish.

$$5^{3}a^{3}+5^{-1}a^{1}$$

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$125a^{3}+5^{-1}a^{1}$$

-1 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{5} ni qiymatni oling.

$$125a^{3}+\frac{1}{5}a^{1}$$

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

$$125a^{3}+\frac{1}{5}a$$

Kengaytirish

$$125a^{3}+\frac{a}{5}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va -2 ni qo‘shib, -1 ni oling.

$$\left(5a\right)^{3}+5^{-1}a^{-1}a^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -1 va 2 ni qo‘shib, 1 ni oling.

$$\left(5a\right)^{3}+5^{-1}a^{1}$$

\left(5a\right)^{3} ni kengaytirish.

$$5^{3}a^{3}+5^{-1}a^{1}$$

3 daraja ko‘rsatkichini 5 ga hisoblang va 125 ni qiymatni oling.

$$125a^{3}+5^{-1}a^{1}$$

-1 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{5} ni qiymatni oling.

$$125a^{3}+\frac{1}{5}a^{1}$$

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

$$125a^{3}+\frac{1}{5}a$$