Question

Escreva numa so potência

Answer 1

Resposta:

I) Troquei o "a" por "x" e o "b" por "y".

$\frac{ {(3 {x}^{2}) }^{5} \times (9 {x}^{4} ) {}^{2} \times (y {}^{3} ) {}^{5} }{(27 {x}^{2} ) {}^{3} \times (y {}^{5} ) {}^{3} } = \frac{ {3}^{5} \times {x}^{10} \times ( {3}^{2} ) {}^{2} \times {x}^{8} \times {y}^{15} }{( {3}^{3}) {}^{3} \times {x}^{6} \times {y}^{15} }$

Anula o ${y}^{15}$

$\frac{ {3}^{5} \times {x}^{10} \times ( {3}^{2} ) {}^{2} \times {x}^{8} }{( {3}^{3}) {}^{3} \times {x}^{6} } = \frac{ {3}^{5} \times {3}^{4} \times {x}^{18} }{ {3}^{9} \times {x}^{6} } = \\ \frac{ {3}^{9} \times {x}^{18} }{ {3}^{9} \times {x}^{6} }$

Anula o ${3}^{9}$

$\frac{ {x}^{18} }{ {x}^{6} } = {x}^{18 - 6} = {x}^{12}$

J) ${y}^{2} \times {y}^{8} \times {y}^{4} = {y}^{2+8+4} = {y}^{14}$