Issolvi 16^{-frac{2/2}27^{-1}81^frac{1{4}}}{16^-227^-frac{4{2}}81^frac{2{4}}}

$$\frac { 16 ^ { - \frac { 2 } { 2 } } 27 ^ { - 1 } 81 ^ { \frac { 1 } { 4 } } } { 16 ^ { - 2 } 27 ^ { - \frac { 4 } { 2 } } 81 ^ { \frac { 2 } { 4 } } }$$

Evalwa

$$144$$

Passi tas-Soluzzjonijiet

Iddividi 2 b'2 biex tikseb1.

$$\frac{16^{-1}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Ikkalkula 16 bil-power ta' -1 u tikseb \frac{1}{16}.

$$\frac{\frac{1}{16}\times 27^{-1}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Ikkalkula 27 bil-power ta' -1 u tikseb \frac{1}{27}.

$$\frac{\frac{1}{16}\times \frac{1}{27}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Immultiplika \frac{1}{16} u \frac{1}{27} biex tikseb \frac{1}{432}.

$$\frac{\frac{1}{432}\times 81^{\frac{1}{4}}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Ikkalkula 81 bil-power ta' \frac{1}{4} u tikseb 3.

$$\frac{\frac{1}{432}\times 3}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Immultiplika \frac{1}{432} u 3 biex tikseb \frac{1}{144}.

$$\frac{\frac{1}{144}}{16^{-2}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Ikkalkula 16 bil-power ta' -2 u tikseb \frac{1}{256}.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-\frac{4}{2}}\times 81^{\frac{2}{4}}}$$

Iddividi 4 b'2 biex tikseb2.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times 27^{-2}\times 81^{\frac{2}{4}}}$$

Ikkalkula 27 bil-power ta' -2 u tikseb \frac{1}{729}.

$$\frac{\frac{1}{144}}{\frac{1}{256}\times \frac{1}{729}\times 81^{\frac{2}{4}}}$$

Immultiplika \frac{1}{256} u \frac{1}{729} biex tikseb \frac{1}{186624}.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{2}{4}}}$$

Naqqas il-frazzjoni \frac{2}{4} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 2.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 81^{\frac{1}{2}}}$$

Ikkalkula 81 bil-power ta' \frac{1}{2} u tikseb 9.

$$\frac{\frac{1}{144}}{\frac{1}{186624}\times 9}$$

Immultiplika \frac{1}{186624} u 9 biex tikseb \frac{1}{20736}.

$$\frac{\frac{1}{144}}{\frac{1}{20736}}$$

Iddividi \frac{1}{144} b'\frac{1}{20736} billi timmultiplika \frac{1}{144} bir-reċiproku ta' \frac{1}{20736}.

$$\frac{1}{144}\times 20736$$

Immultiplika \frac{1}{144} u 20736 biex tikseb 144.

$$144$$

Fattur

$$2^{4}\times 3^{2}$$