frac{-25a^frac{3{4}}b^6}{5a^frac{1{2}}b^4} eching

$$\frac { - 25 a ^ { \frac { 3 } { 4 } } b ^ { 6 } } { 5 a ^ { \frac { 1 } { 2 } } b ^ { 4 } }$$

Baholash

$$-5\sqrt[4]{a}b^{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{\left(-25\right)^{1}a^{\frac{3}{4}}b^{6}}{5^{1}\sqrt{a}b^{4}}$$

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

$$\frac{\left(-25\right)^{1}}{5^{1}}a^{\frac{3}{4}-\frac{1}{2}}b^{6-4}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{1}{2} ni \frac{3}{4} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$\frac{\left(-25\right)^{1}}{5^{1}}\sqrt[4]{a}b^{6-4}$$

6 dan 4 ni ayirish.

$$\frac{\left(-25\right)^{1}}{5^{1}}\sqrt[4]{a}b^{2}$$

-25 ni 5 ga bo'lish.

$$-5\sqrt[4]{a}b^{2}$$

b ga nisbatan hosilani topish

$$-10\sqrt[4]{a}b$$