Lahenda {left({left(-{left(1/4m^2right)}^2right)}^right)}^3

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

Arvuta

$$-\frac{m^{12}}{4096}$$

Lahenduse etapid

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 2 ja 2, et saada 4.

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

Arvutage 2 aste \frac{1}{4} ja leidke \frac{1}{16}.

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

Arvutage 1 aste -\frac{1}{16}m^{4} ja leidke -\frac{1}{16}m^{4}.

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

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 4 ja 3, et saada 12.

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

Arvutage 3 aste -\frac{1}{16} ja leidke -\frac{1}{4096}.

$$-\frac{1}{4096}m^{12}$$

Laienda

$$-\frac{m^{12}}{4096}$$

Lahenduse etapid

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 2 ja 2, et saada 4.

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

Arvutage 2 aste \frac{1}{4} ja leidke \frac{1}{16}.

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

Arvutage 1 aste -\frac{1}{16}m^{4} ja leidke -\frac{1}{16}m^{4}.

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

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 4 ja 3, et saada 12.

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

Arvutage 3 aste -\frac{1}{16} ja leidke -\frac{1}{4096}.

$$-\frac{1}{4096}m^{12}$$