{[-(1/4m^2)^2]^-6}^3= eching

$$\{ [ - ( \frac { 1 } { 4 } m ^ { 2 } ) ^ { 2 } ] ^ { - 6 } \} ^ { 3 } =$$

Baholash

$$\frac{4722366482869645213696}{m^{72}}$$

Yechim qadamlari

\left(\frac{1}{4}m^{2}\right)^{2} ni kengaytirish.

$$\left(\left(-\left(\frac{1}{4}\right)^{2}\left(m^{2}\right)^{2}\right)^{-6}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\left(\left(-\left(\frac{1}{4}\right)^{2}m^{4}\right)^{-6}\right)^{3}$$

2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\left(\left(-\frac{1}{16}m^{4}\right)^{-6}\right)^{3}$$

\left(-\frac{1}{16}m^{4}\right)^{-6} ni kengaytirish.

$$\left(\left(-\frac{1}{16}\right)^{-6}\left(m^{4}\right)^{-6}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -6 ni ko‘paytirib, -24 ni oling.

$$\left(\left(-\frac{1}{16}\right)^{-6}m^{-24}\right)^{3}$$

-6 daraja ko‘rsatkichini -\frac{1}{16} ga hisoblang va 16777216 ni qiymatni oling.

$$\left(16777216m^{-24}\right)^{3}$$

\left(16777216m^{-24}\right)^{3} ni kengaytirish.

$$16777216^{3}\left(m^{-24}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -24 va 3 ni ko‘paytirib, -72 ni oling.

$$16777216^{3}m^{-72}$$

3 daraja ko‘rsatkichini 16777216 ga hisoblang va 4722366482869645213696 ni qiymatni oling.

$$4722366482869645213696m^{-72}$$

Kengaytirish

$$\frac{4722366482869645213696}{m^{72}}$$

Yechim qadamlari

\left(\frac{1}{4}m^{2}\right)^{2} ni kengaytirish.

$$\left(\left(-\left(\frac{1}{4}\right)^{2}\left(m^{2}\right)^{2}\right)^{-6}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

$$\left(\left(-\left(\frac{1}{4}\right)^{2}m^{4}\right)^{-6}\right)^{3}$$

2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\left(\left(-\frac{1}{16}m^{4}\right)^{-6}\right)^{3}$$

\left(-\frac{1}{16}m^{4}\right)^{-6} ni kengaytirish.

$$\left(\left(-\frac{1}{16}\right)^{-6}\left(m^{4}\right)^{-6}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -6 ni ko‘paytirib, -24 ni oling.

$$\left(\left(-\frac{1}{16}\right)^{-6}m^{-24}\right)^{3}$$

-6 daraja ko‘rsatkichini -\frac{1}{16} ga hisoblang va 16777216 ni qiymatni oling.

$$\left(16777216m^{-24}\right)^{3}$$

\left(16777216m^{-24}\right)^{3} ni kengaytirish.

$$16777216^{3}\left(m^{-24}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -24 va 3 ni ko‘paytirib, -72 ni oling.

$$16777216^{3}m^{-72}$$

3 daraja ko‘rsatkichini 16777216 ga hisoblang va 4722366482869645213696 ni qiymatni oling.

$$4722366482869645213696m^{-72}$$