Issolvi frac{sqrt[5]{64^9*128^3}*(sqrt[3]{724div27})}{sqrt[5]{32*243}}

$$\frac { \sqrt[ 5 ] { 64 ^ { 9 } \cdot 128 ^ { 3 } } \cdot ( \sqrt[ 3 ] { 724 \div 27 } ) } { \sqrt[ 5 ] { 32 \cdot 243 } }$$

Evalwa

$$\frac{16384\sqrt[3]{724}}{9}\approx 16346.456330386$$

Passi tas-Soluzzjonijiet

Ikkalkula 64 bil-power ta' 9 u tikseb 18014398509481984.

$$\frac{\sqrt[5]{18014398509481984\times 128^{3}}\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Ikkalkula 128 bil-power ta' 3 u tikseb 2097152.

$$\frac{\sqrt[5]{18014398509481984\times 2097152}\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Immultiplika 18014398509481984 u 2097152 biex tikseb 37778931862957161709568.

$$\frac{\sqrt[5]{37778931862957161709568}\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Ikkalkola \sqrt[5]{37778931862957161709568} u ikseb 32768.

$$\frac{32768\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{32\times 243}}$$

Immultiplika 32 u 243 biex tikseb 7776.

$$\frac{32768\sqrt[3]{\frac{724}{27}}}{\sqrt[5]{7776}}$$

Ikkalkola \sqrt[5]{7776} u ikseb 6.

$$\frac{32768\sqrt[3]{\frac{724}{27}}}{6}$$

Iddividi 32768\sqrt[3]{\frac{724}{27}} b'6 biex tikseb\frac{16384}{3}\sqrt[3]{\frac{724}{27}}.

$$\frac{16384}{3}\sqrt[3]{\frac{724}{27}}$$