Question

simplifica la expresión 12⁴/18⁴
please​

Answer 1

Explicación paso a paso:

$\frac{ {12}^{4} }{ {18}^{4} } = \frac{ {(2 \times 2 \times 3)}^{4} }{( {3 \times 3 \times 2)}^{4} } \\ = \frac{ {2}^{4} \times {2}^{4} \times {3}^{4} }{ {3}^{4} \times {3}^{4} \times {2}^{4} } \\ = \frac{ {2}^{8} \times {3}^{4} }{ {3}^{8} \times {2}^{4} } \\ = {2}^{8 - 4} \times {3}^{4 - 8} \\ = {2}^{4} \times {3}^{ - 4} = \frac{ {2}^{4} }{ {3}^{4} }$