16^{-frac{2/2}27^{-1}81^frac{1{4}}}{16^-227^-frac{4{2}}81^frac{2{4}}} eching

$$\frac { 16 ^ { - \frac { 2 } { 2 } } 27 ^ { - 1 } 81 ^ { \frac { 1 } { 4 } } } { 16 ^ { - 2 } 27 ^ { - \frac { 4 } { 2 } } 81 ^ { \frac { 2 } { 4 } } }$$

Baholash

$$144$$

Yechim qadamlari

1 ni olish uchun 2 ni 2 ga bo‘ling.

$$\frac{16^{-1}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

-1 daraja ko‘rsatkichini 16 ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{\frac{1}{16}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

-1 daraja ko‘rsatkichini 27 ga hisoblang va \frac{1}{27} ni qiymatni oling.

$$\frac{\frac{1}{16}\times \frac{1}{27}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

\frac{1}{432} hosil qilish uchun \frac{1}{16} va \frac{1}{27} ni ko'paytirish.

$$\frac{\frac{1}{432}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

\frac{1}{4} daraja ko‘rsatkichini 81 ga hisoblang va 3 ni qiymatni oling.

$$\frac{\frac{1}{432}\times 3}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

\frac{1}{144} hosil qilish uchun \frac{1}{432} va 3 ni ko'paytirish.

$$\frac{\frac{1}{144}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

-2 daraja ko‘rsatkichini 16 ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

2 ni olish uchun 4 ni 2 ga bo‘ling.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-2}\times 81^{\frac{2}{4}}}$$

-2 daraja ko‘rsatkichini 27 ga hisoblang va \frac{1}{729} ni qiymatni oling.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times \frac{1}{729}\times 81^{\frac{2}{4}}}$$

\frac{1}{186624} hosil qilish uchun \frac{1}{256} va \frac{1}{729} ni ko'paytirish.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{2}{4}}}$$

\frac{2}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{1}{2}}}$$

\frac{1}{2} daraja ko‘rsatkichini 81 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 9}$$

\frac{1}{20736} hosil qilish uchun \frac{1}{186624} va 9 ni ko'paytirish.

$$\frac{\frac{1}{144}}{\frac{1}{20736}}$$

\frac{1}{144} ni \frac{1}{20736} ga bo'lish \frac{1}{144} ga k'paytirish \frac{1}{20736} ga qaytarish.

$$\frac{1}{144}\times 20736$$

144 hosil qilish uchun \frac{1}{144} va 20736 ni ko'paytirish.

$$144$$

Omil

$$2^{4}\times 3^{2}$$