Question

Ayuda con esta operación porfaaaaaaaaaa

Answer 1

Hola!

■ Solución:

$\sqrt[4]{ {2}^{8} \times {3}^{12} \times {4}^{4} } \\ \\ \sqrt[4]{ {2}^{8} \times {( {2}^{2}) }^{4} \times {3}^{12} } \\ \\ \sqrt[4]{ {2}^{8} \times {2}^{2 \times 4} \times {3}^{12} } \\ \\ \sqrt[4]{ {2}^{8} \times {2}^{8} \times {3}^{12} } \\ \\ \sqrt[4]{ {2}^{8 + 8} \times {3}^{12} } \\ \\ \sqrt[4]{ {2}^{16} \times {3}^{12} } \\ \\ \sqrt[4]{ {2}^{16} } \times \sqrt[4]{ {3}^{12} } \\ \\ {2}^{ \frac{16}{4} } \times {3}^{ \frac{12}{4} } \\ \\ {2}^{4} \times {3}^{3} \\ \\ 16 \times 27 \\ \\ 432$