Issolvi 3^-2(5^-3)/9^7125^-4

$$\frac{ { 3 }^{ -2 } ( { 5 }^{ -3 } ) }{ { 9 }^{ 7 } { 125 }^{ -4 } }$$

Evalwa

$$\frac{1953125}{43046721}\approx 0.045372213$$

Passi tas-Soluzzjonijiet

Ikkalkula 3 bil-power ta' -2 u tikseb \frac{1}{9}.

$$\frac{\frac{1}{9}\times 5^{-3}}{9^{7}\times 125^{-4}}$$

Ikkalkula 5 bil-power ta' -3 u tikseb \frac{1}{125}.

$$\frac{\frac{1}{9}\times \frac{1}{125}}{9^{7}\times 125^{-4}}$$

Immultiplika \frac{1}{9} u \frac{1}{125} biex tikseb \frac{1}{1125}.

$$\frac{\frac{1}{1125}}{9^{7}\times 125^{-4}}$$

Ikkalkula 9 bil-power ta' 7 u tikseb 4782969.

$$\frac{\frac{1}{1125}}{4782969\times 125^{-4}}$$

Ikkalkula 125 bil-power ta' -4 u tikseb \frac{1}{244140625}.

$$\frac{\frac{1}{1125}}{4782969\times \frac{1}{244140625}}$$

Immultiplika 4782969 u \frac{1}{244140625} biex tikseb \frac{4782969}{244140625}.

$$\frac{\frac{1}{1125}}{\frac{4782969}{244140625}}$$

Iddividi \frac{1}{1125} b'\frac{4782969}{244140625} billi timmultiplika \frac{1}{1125} bir-reċiproku ta' \frac{4782969}{244140625}.

$$\frac{1}{1125}\times \frac{244140625}{4782969}$$

Immultiplika \frac{1}{1125} u \frac{244140625}{4782969} biex tikseb \frac{1953125}{43046721}.

$$\frac{1953125}{43046721}$$

Fattur

$$\frac{5 ^ {9}}{3 ^ {16}} = 0.045372213135583546$$