(3/4)^5*(3/4)^-2/(frac{3{4})^-1*(3/4)^6} eching

$$\frac { ( \frac { 3 } { 4 } ) ^ { 5 } \cdot ( \frac { 3 } { 4 } ) ^ { - 2 } } { ( \frac { 3 } { 4 } ) ^ { - 1 } \cdot ( \frac { 3 } { 4 } ) ^ { 6 } }$$

Baholash

$$\frac{16}{9}\approx 1,777777778$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va -2 ni qo‘shib, 3 ni oling.

$$\frac{\left(\frac{3}{4}\right)^{3}}{\left(\frac{3}{4}\right)^{-1}\times \left(\frac{3}{4}\right)^{6}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -1 va 6 ni qo‘shib, 5 ni oling.

$$\frac{\left(\frac{3}{4}\right)^{3}}{\left(\frac{3}{4}\right)^{5}}$$

\left(\frac{3}{4}\right)^{5} ni \left(\frac{3}{4}\right)^{3}\times \left(\frac{3}{4}\right)^{2} sifatida qaytadan yozish. Surat va maxrajdagi ikkala \left(\frac{3}{4}\right)^{3} ni qisqartiring.

$$\frac{1}{\left(\frac{3}{4}\right)^{2}}$$

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

$$\frac{1}{\frac{9}{16}}$$

1 ni \frac{9}{16} ga bo'lish 1 ga k'paytirish \frac{9}{16} ga qaytarish.

$$1\times \frac{16}{9}$$

\frac{16}{9} hosil qilish uchun 1 va \frac{16}{9} ni ko'paytirish.

$$\frac{16}{9}$$

Omil

$$\frac{2 ^ {4}}{3 ^ {2}} = 1\frac{7}{9} = 1,7777777777777777$$