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

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

Baholash

$$-\frac{68719476736}{m^{36}}$$

Yechim qadamlari

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

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

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

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

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

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

\left(-\frac{1}{16}m^{4}\right)^{-3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -3 ni ko‘paytirib, -12 ni oling.

$$\left(\left(-\frac{1}{16}\right)^{-3}m^{-12}\right)^{3}$$

-3 daraja ko‘rsatkichini -\frac{1}{16} ga hisoblang va -4096 ni qiymatni oling.

$$\left(-4096m^{-12}\right)^{3}$$

\left(-4096m^{-12}\right)^{3} ni kengaytirish.

$$\left(-4096\right)^{3}\left(m^{-12}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -12 va 3 ni ko‘paytirib, -36 ni oling.

$$\left(-4096\right)^{3}m^{-36}$$

3 daraja ko‘rsatkichini -4096 ga hisoblang va -68719476736 ni qiymatni oling.

$$-68719476736m^{-36}$$

Kengaytirish

$$-\frac{68719476736}{m^{36}}$$

Yechim qadamlari

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

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

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

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

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

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

\left(-\frac{1}{16}m^{4}\right)^{-3} ni kengaytirish.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va -3 ni ko‘paytirib, -12 ni oling.

$$\left(\left(-\frac{1}{16}\right)^{-3}m^{-12}\right)^{3}$$

-3 daraja ko‘rsatkichini -\frac{1}{16} ga hisoblang va -4096 ni qiymatni oling.

$$\left(-4096m^{-12}\right)^{3}$$

\left(-4096m^{-12}\right)^{3} ni kengaytirish.

$$\left(-4096\right)^{3}\left(m^{-12}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. -12 va 3 ni ko‘paytirib, -36 ni oling.

$$\left(-4096\right)^{3}m^{-36}$$

3 daraja ko‘rsatkichini -4096 ga hisoblang va -68719476736 ni qiymatni oling.

$$-68719476736m^{-36}$$