(x^9y^-3/z^-5)^-2 eching

$$( \frac { x ^ { 9 } y ^ { - 3 } } { z ^ { - 5 } } ) ^ { - 2 }$$

Baholash

$$\frac{y^{6}}{z^{10}x^{18}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(\frac{x^{9}y^{-3}}{z^{-5}}\right)^{-2}$$

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

$$\frac{\left(x^{9}\right)^{-2}\left(y^{-3}\right)^{-2}}{\left(z^{-5}\right)^{-2}}$$

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

$$\frac{x^{9\left(-2\right)}y^{-3\left(-2\right)}}{z^{-5\left(-2\right)}}$$

9 ni -2 marotabaga ko'paytirish.

$$\frac{x^{-18}y^{-3\left(-2\right)}}{z^{-5\left(-2\right)}}$$

-3 ni -2 marotabaga ko'paytirish.

$$\frac{x^{-18}y^{6}}{z^{-5\left(-2\right)}}$$

-5 ni -2 marotabaga ko'paytirish.

$$\frac{x^{-18}y^{6}}{z^{10}}$$

Kengaytirish

$$\frac{y^{6}}{z^{10}x^{18}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(\frac{x^{9}y^{-3}}{z^{-5}}\right)^{-2}$$

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

$$\frac{\left(x^{9}\right)^{-2}\left(y^{-3}\right)^{-2}}{\left(z^{-5}\right)^{-2}}$$

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

$$\frac{x^{9\left(-2\right)}y^{-3\left(-2\right)}}{z^{-5\left(-2\right)}}$$

9 ni -2 marotabaga ko'paytirish.

$$\frac{x^{-18}y^{-3\left(-2\right)}}{z^{-5\left(-2\right)}}$$

-3 ni -2 marotabaga ko'paytirish.

$$\frac{x^{-18}y^{6}}{z^{-5\left(-2\right)}}$$

-5 ni -2 marotabaga ko'paytirish.

$$\frac{x^{-18}y^{6}}{z^{10}}$$