Lahenda (4^2/5)*(4^-3/5)+(2^2/5^2)

$$( \frac{ { 4 }^{ 2 } }{ 5 } ) \times ( \frac{ { 4 }^{ -3 } }{ 5 } )+( \frac{ { 2 }^{ 2 } }{ { 5 }^{ 2 } } )$$

Arvuta

$$\frac{17}{100}=0,17$$

Lahenduse etapid

Arvutage 2 aste 4 ja leidke 16.

$$\frac{16}{5}\times \frac{4^{-3}}{5}+\frac{2^{2}}{5^{2}}$$

Arvutage -3 aste 4 ja leidke \frac{1}{64}.

$$\frac{16}{5}\times \frac{\frac{1}{64}}{5}+\frac{2^{2}}{5^{2}}$$

Avaldage \frac{\frac{1}{64}}{5} ühe murdarvuna.

$$\frac{16}{5}\times \frac{1}{64\times 5}+\frac{2^{2}}{5^{2}}$$

Korrutage 64 ja 5, et leida 320.

$$\frac{16}{5}\times \frac{1}{320}+\frac{2^{2}}{5^{2}}$$

Korrutage \frac{16}{5} ja \frac{1}{320}, et leida \frac{1}{100}.

$$\frac{1}{100}+\frac{2^{2}}{5^{2}}$$

Arvutage 2 aste 2 ja leidke 4.

$$\frac{1}{100}+\frac{4}{5^{2}}$$

Arvutage 2 aste 5 ja leidke 25.

$$\frac{1}{100}+\frac{4}{25}$$

Liitke \frac{1}{100} ja \frac{4}{25}, et leida \frac{17}{100}.

$$\frac{17}{100}$$

Lahuta teguriteks

$$\frac{17}{2 ^ {2} \cdot 5 ^ {2}} = 0,17$$