Question

Indicar el valor de "a" en cada caso:

Answer 1

Resolviendo

A)

$\frac{ {x}^{2a} }{ {x}^{3} } = {x}^{3}$

${x}^{2a} = {x}^{3} . {x}^{3}$

${x}^{2a} = {x}^{3 + 3}$

${x}^{2a} = {x}^{6}$

$2a = 6$

$a = 6 \div 2$

$a = 3$

B)

$\frac{ {x}^{8} . {x}^{6} }{ {x}^{14} } = {x}^{a}$

$\frac{ {x}^{8 + 6} }{ {x}^{14} } = {x}^{a}$

$\frac{ {x}^{14} }{ {x}^{14} } = {x}^{a}$

$1 = {x}^{a}$

$a = log(x) 1$

Saludos