Lahenda (2/5^{2})^{2}(6^2/2^2*(2/3)^-1)^-2

$$( \frac { 2 } { 5 ^ { 2 } } ) ^ { 2 } ( \frac { 6 ^ { 2 } } { 2 ^ { 2 } } \cdot ( \frac { 2 } { 3 } ) ^ { - 1 } ) ^ { - 2 }$$

Arvuta

$$\frac{16}{455625}\approx 0,000035117$$

Lahenduse etapid

Arvutage 2 aste 5 ja leidke 25.

$$\left(\frac{2}{25}\right)^{2}\times \left(\frac{6^{2}}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Arvutage 2 aste \frac{2}{25} ja leidke \frac{4}{625}.

$$\frac{4}{625}\times \left(\frac{6^{2}}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Arvutage 2 aste 6 ja leidke 36.

$$\frac{4}{625}\times \left(\frac{36}{2^{2}}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Arvutage 2 aste 2 ja leidke 4.

$$\frac{4}{625}\times \left(\frac{36}{4}\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Jagage 36 väärtusega 4, et leida 9.

$$\frac{4}{625}\times \left(9\times \left(\frac{2}{3}\right)^{-1}\right)^{-2}$$

Arvutage -1 aste \frac{2}{3} ja leidke \frac{3}{2}.

$$\frac{4}{625}\times \left(9\times \frac{3}{2}\right)^{-2}$$

Korrutage 9 ja \frac{3}{2}, et leida \frac{27}{2}.

$$\frac{4}{625}\times \left(\frac{27}{2}\right)^{-2}$$

Arvutage -2 aste \frac{27}{2} ja leidke \frac{4}{729}.

$$\frac{4}{625}\times \frac{4}{729}$$

Korrutage \frac{4}{625} ja \frac{4}{729}, et leida \frac{16}{455625}.

$$\frac{16}{455625}$$

Lahuta teguriteks

$$\frac{2 ^ {4}}{3 ^ {6} \cdot 5 ^ {4}} = 3,511659807956104 \times 10^{-5}$$