{[-(1/4m^2)^2]^8}^3= eching

$$\{ [ - ( \frac { 1 } { 4 } m ^ { 2 } ) ^ { 2 } ] ^ { 8 } \} ^ { 3 } =$$

Baholash

$$\frac{m^{96}}{79228162514264337593543950336}$$

Yechim qadamlari

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

$$\left(\left(-\left(\frac{1}{4}\right)^{2}\left(m^{2}\right)^{2}\right)^{8}\right)^{3}$$

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

$$\left(\left(-\left(\frac{1}{4}\right)^{2}m^{4}\right)^{8}\right)^{3}$$

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

$$\left(\left(-\frac{1}{16}m^{4}\right)^{8}\right)^{3}$$

\left(-\frac{1}{16}m^{4}\right)^{8} ni kengaytirish.

$$\left(\left(-\frac{1}{16}\right)^{8}\left(m^{4}\right)^{8}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 8 ni ko‘paytirib, 32 ni oling.

$$\left(\left(-\frac{1}{16}\right)^{8}m^{32}\right)^{3}$$

8 daraja ko‘rsatkichini -\frac{1}{16} ga hisoblang va \frac{1}{4294967296} ni qiymatni oling.

$$\left(\frac{1}{4294967296}m^{32}\right)^{3}$$

\left(\frac{1}{4294967296}m^{32}\right)^{3} ni kengaytirish.

$$\left(\frac{1}{4294967296}\right)^{3}\left(m^{32}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 32 va 3 ni ko‘paytirib, 96 ni oling.

$$\left(\frac{1}{4294967296}\right)^{3}m^{96}$$

3 daraja ko‘rsatkichini \frac{1}{4294967296} ga hisoblang va \frac{1}{79228162514264337593543950336} ni qiymatni oling.

$$\frac{1}{79228162514264337593543950336}m^{96}$$

Kengaytirish

$$\frac{m^{96}}{79228162514264337593543950336}$$

Yechim qadamlari

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

$$\left(\left(-\left(\frac{1}{4}\right)^{2}\left(m^{2}\right)^{2}\right)^{8}\right)^{3}$$

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

$$\left(\left(-\left(\frac{1}{4}\right)^{2}m^{4}\right)^{8}\right)^{3}$$

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

$$\left(\left(-\frac{1}{16}m^{4}\right)^{8}\right)^{3}$$

\left(-\frac{1}{16}m^{4}\right)^{8} ni kengaytirish.

$$\left(\left(-\frac{1}{16}\right)^{8}\left(m^{4}\right)^{8}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 8 ni ko‘paytirib, 32 ni oling.

$$\left(\left(-\frac{1}{16}\right)^{8}m^{32}\right)^{3}$$

8 daraja ko‘rsatkichini -\frac{1}{16} ga hisoblang va \frac{1}{4294967296} ni qiymatni oling.

$$\left(\frac{1}{4294967296}m^{32}\right)^{3}$$

\left(\frac{1}{4294967296}m^{32}\right)^{3} ni kengaytirish.

$$\left(\frac{1}{4294967296}\right)^{3}\left(m^{32}\right)^{3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 32 va 3 ni ko‘paytirib, 96 ni oling.

$$\left(\frac{1}{4294967296}\right)^{3}m^{96}$$

3 daraja ko‘rsatkichini \frac{1}{4294967296} ga hisoblang va \frac{1}{79228162514264337593543950336} ni qiymatni oling.

$$\frac{1}{79228162514264337593543950336}m^{96}$$