(2x^1/2/z^-1/6y^2/3)^6 eching

$$( \frac { 2 x ^ { 1 / 2 } } { z ^ { - 1 / 6 } y ^ { 2 / 3 } } ) ^ { 6 }$$

Baholash

$$\frac{64zx^{3}}{y^{4}}$$

Yechim qadamlari

\frac{2x^{\frac{1}{2}}}{z^{-\frac{1}{6}}y^{\frac{2}{3}}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2x^{\frac{1}{2}}\right)^{6}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

\left(2x^{\frac{1}{2}}\right)^{6} ni kengaytirish.

$$\frac{2^{6}\left(x^{\frac{1}{2}}\right)^{6}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va 6 ni ko‘paytirib, 3 ni oling.

$$\frac{2^{6}x^{3}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$\frac{64x^{3}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6} ni kengaytirish.

$$\frac{64x^{3}}{\left(z^{-\frac{1}{6}}\right)^{6}\left(y^{\frac{2}{3}}\right)^{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -\frac{1}{6} va 6 ni ko‘paytirib, -1 ni oling.

$$\frac{64x^{3}}{z^{-1}\left(y^{\frac{2}{3}}\right)^{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{2}{3} va 6 ni ko‘paytirib, 4 ni oling.

$$\frac{64x^{3}}{z^{-1}y^{4}}$$

Kengaytirish

$$\frac{64zx^{3}}{y^{4}}$$

Yechim qadamlari

\frac{2x^{\frac{1}{2}}}{z^{-\frac{1}{6}}y^{\frac{2}{3}}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(2x^{\frac{1}{2}}\right)^{6}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

\left(2x^{\frac{1}{2}}\right)^{6} ni kengaytirish.

$$\frac{2^{6}\left(x^{\frac{1}{2}}\right)^{6}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{1}{2} va 6 ni ko‘paytirib, 3 ni oling.

$$\frac{2^{6}x^{3}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$\frac{64x^{3}}{\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6}}$$

\left(z^{-\frac{1}{6}}y^{\frac{2}{3}}\right)^{6} ni kengaytirish.

$$\frac{64x^{3}}{\left(z^{-\frac{1}{6}}\right)^{6}\left(y^{\frac{2}{3}}\right)^{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -\frac{1}{6} va 6 ni ko‘paytirib, -1 ni oling.

$$\frac{64x^{3}}{z^{-1}\left(y^{\frac{2}{3}}\right)^{6}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{2}{3} va 6 ni ko‘paytirib, 4 ni oling.

$$\frac{64x^{3}}{z^{-1}y^{4}}$$