Question

[(a³)²(a²)⁵]³


ayuda con este por favor gracias

Answer 1

$aplicando \: las \: propiedades \: de \: potencias \: y \: radicales \\ ((a^{3}) {}^{2} (a {}^{2} ) {}^{5}) {}^{3} \\ (a) {}^{3 \times 2} (a) {}^{2 \times 5}) {}^{3} \\ ({a}^{6} \times {a}^{10} ) {}^{3} \\ ( {a}^{16} ) {}^{3} \\ a {}^{16 \times 3} \\ a {}^{48}$

Answer 2

Debemos recordar las siguientes propiedades

${x}^{a} ( {x}^{b} ) = {x}^{a + b}$

$(x ^{a} ) {}^{b} = {x}^{a(b)}$

Resolvamos

[(a³)²(a²)⁵]³

$[( {a}^{3 \times 2)} ( {a}^{2 \times 5} )] ^{3} \\ [a {}^{6}( {a}^{10}) ] {}^{3} \\ [a {}^{6 + 10} ] {}^{3} \\ [a {}^{16} ] ^{3} \\ {a}^{16 \times 3} \\ {a}^{48}$