(x^4y^-1/z^-8)^-5 eching

$$( \frac { x ^ { 4 } y ^ { - 1 } } { z ^ { - 8 } } ) ^ { - 5 }$$

Baholash

$$\frac{y^{5}}{x^{20}z^{40}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(\frac{x^{4}\times \frac{1}{y}}{z^{-8}}\right)^{-5}$$

Ikki aqam koeffitsientini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring, so'ngra bo'ling.

$$\frac{\left(x^{4}\right)^{-5}\times \left(\frac{1}{y}\right)^{-5}}{\left(z^{-8}\right)^{-5}}$$

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

$$\frac{x^{4\left(-5\right)}y^{-\left(-5\right)}}{z^{-8\left(-5\right)}}$$

4 ni -5 marotabaga ko'paytirish.

$$\frac{x^{-20}y^{-\left(-5\right)}}{z^{-8\left(-5\right)}}$$

-1 ni -5 marotabaga ko'paytirish.

$$\frac{x^{-20}y^{5}}{z^{-8\left(-5\right)}}$$

-8 ni -5 marotabaga ko'paytirish.

$$\frac{x^{-20}y^{5}}{z^{40}}$$

Kengaytirish

$$\frac{y^{5}}{x^{20}z^{40}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(\frac{x^{4}\times \frac{1}{y}}{z^{-8}}\right)^{-5}$$

Ikki aqam koeffitsientini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring, so'ngra bo'ling.

$$\frac{\left(x^{4}\right)^{-5}\times \left(\frac{1}{y}\right)^{-5}}{\left(z^{-8}\right)^{-5}}$$

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

$$\frac{x^{4\left(-5\right)}y^{-\left(-5\right)}}{z^{-8\left(-5\right)}}$$

4 ni -5 marotabaga ko'paytirish.

$$\frac{x^{-20}y^{-\left(-5\right)}}{z^{-8\left(-5\right)}}$$

-1 ni -5 marotabaga ko'paytirish.

$$\frac{x^{-20}y^{5}}{z^{-8\left(-5\right)}}$$

-8 ni -5 marotabaga ko'paytirish.

$$\frac{x^{-20}y^{5}}{z^{40}}$$