34*5^2+6*(5^-4)^2) eching

$$34 \cdot 5 ^ { 2 } + 6 \cdot ( 5 ^ { - 4 } ) ^ { 2 } )$$

Baholash

$$\frac{332031256}{390625}=850,00001536$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -4 va 2 ni ko‘paytirib, -8 ni oling.

$$34\times 5^{2}+6\times 5^{-8}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$34\times 25+6\times 5^{-8}$$

850 hosil qilish uchun 34 va 25 ni ko'paytirish.

$$850+6\times 5^{-8}$$

-8 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{390625} ni qiymatni oling.

$$850+6\times \frac{1}{390625}$$

\frac{6}{390625} hosil qilish uchun 6 va \frac{1}{390625} ni ko'paytirish.

$$850+\frac{6}{390625}$$

\frac{332031256}{390625} olish uchun 850 va \frac{6}{390625}'ni qo'shing.

$$\frac{332031256}{390625}$$

Omil

$$\frac{2 ^ {3} \cdot 1493 \cdot 27799}{5 ^ {8}} = 850\frac{6}{390625} = 850,00001536$$