m:(-1/2)^3*sqrt{25/4}*sqrt{(8/3)^2}=3^-1 eching

$$m : ( - \frac { 1 } { 2 } ) ^ { 3 } \times \sqrt { \frac { 25 } { 4 } } \times \sqrt { ( \frac { 8 } { 3 } ) ^ { 2 } } = 3 ^ { - 1 }$$

m uchun yechish

$$m=-\frac{1}{160}=-0,00625$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va -\frac{1}{8} ni qiymatni oling.

$$\frac{m}{-\frac{1}{8}}\sqrt{\frac{25}{4}}\sqrt{\left(\frac{8}{3}\right)^{2}}=3^{-1}$$

\frac{25}{4} boʻlinmasining kvadrat ildizini \frac{\sqrt{25}}{\sqrt{4}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{m}{-\frac{1}{8}}\times \frac{5}{2}\sqrt{\left(\frac{8}{3}\right)^{2}}=3^{-1}$$

2 daraja ko‘rsatkichini \frac{8}{3} ga hisoblang va \frac{64}{9} ni qiymatni oling.

$$\frac{m}{-\frac{1}{8}}\times \frac{5}{2}\sqrt{\frac{64}{9}}=3^{-1}$$

\frac{64}{9} boʻlinmasining kvadrat ildizini \frac{\sqrt{64}}{\sqrt{9}} kvadrat ildizlarining boʻlinmasi sifatida qayta yozing. Surat va maxrajni kvadrat ildizdan chiqaring.

$$\frac{m}{-\frac{1}{8}}\times \frac{5}{2}\times \frac{8}{3}=3^{-1}$$

\frac{20}{3} hosil qilish uchun \frac{5}{2} va \frac{8}{3} ni ko'paytirish.

$$\frac{m}{-\frac{1}{8}}\times \frac{20}{3}=3^{-1}$$

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

$$\frac{m}{-\frac{1}{8}}\times \frac{20}{3}=\frac{1}{3}$$

Ikki tarafini \frac{3}{20} va teskari kasri \frac{20}{3} ga ko‘paytiring.

$$\frac{m}{-\frac{1}{8}}=\frac{1}{3}\times \frac{3}{20}$$

\frac{1}{20} hosil qilish uchun \frac{1}{3} va \frac{3}{20} ni ko'paytirish.

$$\frac{m}{-\frac{1}{8}}=\frac{1}{20}$$

Ikkala tarafini -\frac{1}{8} ga ko‘paytiring.

$$m=\frac{1}{20}\left(-\frac{1}{8}\right)$$

-\frac{1}{160} hosil qilish uchun \frac{1}{20} va -\frac{1}{8} ni ko'paytirish.

$$m=-\frac{1}{160}$$