9b/45b^11 eching

$$\frac { 9 b } { 45 b ^ { 11 } }$$

Baholash

$$\frac{1}{5b^{10}}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(9b^{1}\right)^{1}\times \frac{1}{45b^{11}}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$9^{1}\left(b^{1}\right)^{1}\times \frac{1}{45}\times \frac{1}{b^{11}}$$

Ko'paytirishning kommutativ xususiyatidan foydalanish.

$$9^{1}\times \frac{1}{45}\left(b^{1}\right)^{1}\times \frac{1}{b^{11}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$9^{1}\times \frac{1}{45}b^{1}b^{11\left(-1\right)}$$

11 ni -1 marotabaga ko'paytirish.

$$9^{1}\times \frac{1}{45}b^{1}b^{-11}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$9^{1}\times \frac{1}{45}b^{1-11}$$

1 va -11 belgilarini qo'shish.

$$9^{1}\times \frac{1}{45}b^{-10}$$

9 ni 1 daraja ko'rsatgichiga oshirish.

$$9\times \frac{1}{45}b^{-10}$$

9 ni \frac{1}{45} marotabaga ko'paytirish.

$$\frac{1}{5}b^{-10}$$

Eksponent koeffitsienti uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{9^{1}b^{1}}{45^{1}b^{11}}$$

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

$$\frac{9^{1}b^{1-11}}{45^{1}}$$

1 dan 11 ni ayirish.

$$\frac{9^{1}b^{-10}}{45^{1}}$$

\frac{9}{45} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{5}b^{-10}$$

b ga nisbatan hosilani topish

$$-\frac{2}{b^{11}}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{9}{45}b^{1-11})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{5}b^{-10})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$-10\times \frac{1}{5}b^{-10-1}$$

Arifmetik hisobni amalga oshirish.

$$-2b^{-11}$$