510^4=910^9210^-5/sqrt{36} eching

$$5 { 10 }^{ 4 } = 9 \frac{ { 10 }^{ 9 } 2 { 10 }^{ -5 } }{ \sqrt{ 36 } }$$

Tasdiqlamoq

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 9 va -5 ni qo‘shib, 4 ni oling.

$$5\times 10^{4}=9\times \frac{10^{4}\times 2}{\sqrt{36}}$$

4 daraja ko‘rsatkichini 10 ga hisoblang va 10000 ni qiymatni oling.

$$5\times 10000=9\times \frac{10^{4}\times 2}{\sqrt{36}}$$

50000 hosil qilish uchun 5 va 10000 ni ko'paytirish.

$$50000=9\times \frac{10^{4}\times 2}{\sqrt{36}}$$

4 daraja ko‘rsatkichini 10 ga hisoblang va 10000 ni qiymatni oling.

$$50000=9\times \frac{10000\times 2}{\sqrt{36}}$$

20000 hosil qilish uchun 10000 va 2 ni ko'paytirish.

$$50000=9\times \frac{20000}{\sqrt{36}}$$

36 ning kvadrat ildizini hisoblab, 6 natijaga ega bo‘ling.

$$50000=9\times \frac{20000}{6}$$

\frac{20000}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$50000=9\times \frac{10000}{3}$$

30000 hosil qilish uchun 9 va \frac{10000}{3} ni ko'paytirish.

$$50000=30000$$

50000 va 30000 ni taqqoslang.

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