5a^3/4b^3/5/20a^1/5b^1/4 eching

$$\frac { 5 a ^ { 3 / 4 } b ^ { 3 / 5 } } { 20 a ^ { 1 / 5 } b ^ { 1 / 4 } }$$

Baholash

$$\frac{b^{\frac{7}{20}}a^{\frac{11}{20}}}{4}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{5^{1}a^{\frac{3}{4}}b^{\frac{3}{5}}}{20^{1}\sqrt[5]{a}\sqrt[4]{b}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{5^{1}}{20^{1}}a^{\frac{3}{4}-\frac{1}{5}}b^{\frac{3}{5}-\frac{1}{4}}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{1}{5} ni \frac{3}{4} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$\frac{5^{1}}{20^{1}}a^{\frac{11}{20}}b^{\frac{3}{5}-\frac{1}{4}}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{1}{4} ni \frac{3}{5} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$\frac{5^{1}}{20^{1}}a^{\frac{11}{20}}b^{\frac{7}{20}}$$

\frac{5}{20} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{4}a^{\frac{11}{20}}b^{\frac{7}{20}}$$

b ga nisbatan hosilani topish

$$\frac{7a^{\frac{11}{20}}}{80b^{\frac{13}{20}}}$$