Question

14) Aplicando as propriedades de potencias de mesma base, simplifique a expressão
( 3^2× 3^4 )× 81^4/ 243^4
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Answer 1

$\frac{( {3}^{2} \times {3}^{4} ) \times {81}^{4} }{ {243}^{4} }$

$\frac{( {3}^{2 + 4} ) \times {( {3}^{4} ) }^{4} }{ {( {3}^{5} )}^{4} }$

$\frac{ {3}^{6} \times {3}^{16} }{ {3}^{20} }$

$\frac{ {3}^{6 + 16} }{ {3}^{20} }$

$\frac{ {3}^{22} }{ {3}^{20} }$

${3}^{22 - 20}$

${3}^{2}$

$3 \times 3 = 9$