(2*8)^{2}-(625)^0+(8*8)^3+3^2/3^3 eching

$$( 2 \times 8 ) ^ { 2 } - ( 625 ) ^ { 0 } + ( 8 \times 8 ) ^ { 3 } + \frac { 3 ^ { 2 } } { 3 ^ { 3 } }$$

Baholash

$$\frac{787198}{3}\approx 262399,333333333$$

Yechim qadamlari

3^{3} ni 3\times 3^{2} sifatida qaytadan yozish. Surat va maxrajdagi ikkala 3^{2} ni qisqartiring.

$$\left(2\times 8\right)^{2}-625^{0}+\left(8\times 8\right)^{3}+\frac{1}{3}$$

16 hosil qilish uchun 2 va 8 ni ko'paytirish.

$$16^{2}-625^{0}+\left(8\times 8\right)^{3}+\frac{1}{3}$$

2 daraja ko‘rsatkichini 16 ga hisoblang va 256 ni qiymatni oling.

$$256-625^{0}+\left(8\times 8\right)^{3}+\frac{1}{3}$$

0 daraja ko‘rsatkichini 625 ga hisoblang va 1 ni qiymatni oling.

$$256-1+\left(8\times 8\right)^{3}+\frac{1}{3}$$

255 olish uchun 256 dan 1 ni ayirish.

$$255+\left(8\times 8\right)^{3}+\frac{1}{3}$$

64 hosil qilish uchun 8 va 8 ni ko'paytirish.

$$255+64^{3}+\frac{1}{3}$$

3 daraja ko‘rsatkichini 64 ga hisoblang va 262144 ni qiymatni oling.

$$255+262144+\frac{1}{3}$$

262399 olish uchun 255 va 262144'ni qo'shing.

$$262399+\frac{1}{3}$$

\frac{787198}{3} olish uchun 262399 va \frac{1}{3}'ni qo'shing.

$$\frac{787198}{3}$$

Omil

$$\frac{2 \cdot 23 \cdot 109 \cdot 157}{3} = 262399\frac{1}{3} = 262399,3333333333$$