Question

ayuden con la simplificación de estos dos ejercicios

Answer 1

Respuesta:

1) $2^{4}.3^{6}$

2) $\frac{9}{25}\sqrt{\frac{3}{5} }$

Explicación paso a paso:

1) $(\frac{2^{2}. 3^{5}. 4^{2} }{2^{4}. 3^{2} }) ^{2}$

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

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

$(2^{2}. 3^{3}) ^{2}$

$2^{4}.3^{6}$

2)

$(\sqrt{\frac{27}{125} })(\sqrt[3]{\frac{9}{25} })$

$(\sqrt{\frac{3^{3} }{5^{3} } })(\sqrt[3]{\frac{3^{2} }{5^{2} } })$

$(\sqrt{(\frac{3}{5}) ^{3}  })(\sqrt[3]{(\frac{3}{5}) ^{2} })$

$(\frac{3}{5}) ^{3/2}*(\frac{3}{5}) ^{2/3}$

$(3/5)^{13/6}$

(3/5)² * $(3/5)^{3/6}$

(3/5)² * $(3/5)^{1/2}$

$\frac{9}{25}\sqrt{\frac{3}{5} }$