[(7/6)^3div(3/4)^2]^2= eching

$$[ ( \frac { 7 } { 6 } ) ^ { 3 } \div ( \frac { 3 } { 4 } ) ^ { 2 } ] ^ { 2 } =$$

Baholash

$$\frac{470596}{59049}\approx 7,969584582$$

Yechim qadamlari

3 daraja ko‘rsatkichini \frac{7}{6} ga hisoblang va \frac{343}{216} ni qiymatni oling.

$$\left(\frac{\frac{343}{216}}{\left(\frac{3}{4}\right)^{2}}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{3}{4} ga hisoblang va \frac{9}{16} ni qiymatni oling.

$$\left(\frac{\frac{343}{216}}{\frac{9}{16}}\right)^{2}$$

\frac{343}{216} ni \frac{9}{16} ga bo'lish \frac{343}{216} ga k'paytirish \frac{9}{16} ga qaytarish.

$$\left(\frac{343}{216}\times \frac{16}{9}\right)^{2}$$

\frac{686}{243} hosil qilish uchun \frac{343}{216} va \frac{16}{9} ni ko'paytirish.

$$\left(\frac{686}{243}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{686}{243} ga hisoblang va \frac{470596}{59049} ni qiymatni oling.

$$\frac{470596}{59049}$$

Omil

$$\frac{2 ^ {2} \cdot 7 ^ {6}}{3 ^ {10}} = 7\frac{57253}{59049} = 7,96958458229606$$