Question

Resolver 4√64a^12b^10c^6

Answer 1

Supongo que quieres decir:

$4 \sqrt{64 {a}^{12} {b}^{10} {c}^{6} }$

La propiedad de que usaremos es:

$\sqrt{ {a}^{n} } = {a}^{ \frac{n}{2} } \\ \sqrt{ab} = \sqrt{a} \sqrt{b}$

Solucion

$= 4 \sqrt{64} \sqrt{ {a}^{12} } \sqrt{ {b}^{10} } \sqrt{ {c}^{6} } \\ = 4 \sqrt{ {8}^{2} } \sqrt{ {a}^{12} } \sqrt{ {b}^{10} } \sqrt{ {c}^{6} } \\ = 4( {8}^{ \frac{2}{2} } )( {a}^{ \frac{12}{2} } )( {b}^{ \frac{10}{2} } )( {c}^{ \frac{6}{2} } ) \\ = 4(8)( {a}^{6} )( {b}^{5})( {c}^{3} ) \\ = 32 {a}^{6} {b}^{5} {c}^{3}$