Issolvi frac{(2^{4}*3^6)^frac{1{2}}*sqrt[3]{8}*sqrt{81}}{16^frac{3{4}}*27^frac{1{3}}}

$$\frac { ( 2 ^ { 4 } \times 3 ^ { 6 } ) ^ { \frac { 1 } { 2 } } \times \sqrt[ 3 ] { 8 } \times \sqrt { 81 } } { 16 ^ { \frac { 3 } { 4 } } \times 27 ^ { \frac { 1 } { 3 } } }$$

Evalwa

$$81$$

Passi tas-Soluzzjonijiet

Ikkalkula 2 bil-power ta' 4 u tikseb 16.

$$\frac{\left(16\times 3^{6}\right)^{\frac{1}{2}}\sqrt[3]{8}\sqrt{81}}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Ikkalkula 3 bil-power ta' 6 u tikseb 729.

$$\frac{\left(16\times 729\right)^{\frac{1}{2}}\sqrt[3]{8}\sqrt{81}}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Immultiplika 16 u 729 biex tikseb 11664.

$$\frac{11664^{\frac{1}{2}}\sqrt[3]{8}\sqrt{81}}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Ikkalkula 11664 bil-power ta' \frac{1}{2} u tikseb 108.

$$\frac{108\sqrt[3]{8}\sqrt{81}}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Ikkalkola \sqrt[3]{8} u ikseb 2.

$$\frac{108\times 2\sqrt{81}}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Immultiplika 108 u 2 biex tikseb 216.

$$\frac{216\sqrt{81}}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Ikkalkula l-għerq kwadrat ta' 81 u ikseb 9.

$$\frac{216\times 9}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Immultiplika 216 u 9 biex tikseb 1944.

$$\frac{1944}{16^{\frac{3}{4}}\times 27^{\frac{1}{3}}}$$

Ikkalkula 16 bil-power ta' \frac{3}{4} u tikseb 8.

$$\frac{1944}{8\times 27^{\frac{1}{3}}}$$

Ikkalkula 27 bil-power ta' \frac{1}{3} u tikseb 3.

$$\frac{1944}{8\times 3}$$

Immultiplika 8 u 3 biex tikseb 24.

$$\frac{1944}{24}$$

Iddividi 1944 b'24 biex tikseb81.

$$81$$

Fattur

$$3^{4}$$