(3/2)^-2*(3/2)^3:(3/2)^4= eching

$$( \frac { 3 } { 2 } ) ^ { - 2 } \cdot ( \frac { 3 } { 2 } ) ^ { 3 } : ( \frac { 3 } { 2 } ) ^ { 4 } =$$

Baholash

$$\frac{8}{27}\approx 0,296296296$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 3 ni qo‘shib, 1 ni oling.

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

\left(\frac{3}{2}\right)^{4} ni \left(\frac{3}{2}\right)^{1}\times \left(\frac{3}{2}\right)^{3} sifatida qaytadan yozish. Surat va maxrajdagi ikkala \left(\frac{3}{2}\right)^{1} ni qisqartiring.

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

3 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{27}{8} ni qiymatni oling.

$$\frac{1}{\frac{27}{8}}$$

1 ni \frac{27}{8} ga bo'lish 1 ga k'paytirish \frac{27}{8} ga qaytarish.

$$1\times \frac{8}{27}$$

\frac{8}{27} hosil qilish uchun 1 va \frac{8}{27} ni ko'paytirish.

$$\frac{8}{27}$$

Omil

$$\frac{2 ^ {3}}{3 ^ {3}} = 0,2962962962962963$$