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

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

Arvuta

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

Lahenduse etapid

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

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

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

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

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

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

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 4 ja 8, et saada 32.

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

Arvutage 8 aste -\frac{1}{16} ja leidke \frac{1}{4294967296}.

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

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 32 ja 3, et saada 96.

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

Arvutage 3 aste \frac{1}{4294967296} ja leidke \frac{1}{79228162514264337593543950336}.

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

Laienda

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

Lahenduse etapid

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

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

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

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

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

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

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 4 ja 8, et saada 32.

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

Arvutage 8 aste -\frac{1}{16} ja leidke \frac{1}{4294967296}.

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

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

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

Astme tõstmiseks mõnda teise astmesse korrutage astendajad. Korrutage 32 ja 3, et saada 96.

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

Arvutage 3 aste \frac{1}{4294967296} ja leidke \frac{1}{79228162514264337593543950336}.

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