Question

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Answer 1

1)

$(\frac{5a}{7b} )^{2}*\frac{14b^{2}}{25a^{3}} =\frac{25a^{2}}{49b^{2}} *\frac{14b^{2}}{25a^{3}} =\frac{2}{7a}$

2)

$(\frac{3a^{2}}{2b} )^{3}*\frac{16b^{3}}{21a^{4}} =\frac{27a^{6}}{8b^{3}} *\frac{16b^{3}}{21a^{4}}=\frac{18a^{2}}{7}$

3)

$\frac{2a^{2}}{5b^{2}} :\frac{12a^{2}}{15b^{2}} =\frac{2a^{2}}{5b^{2}}*\frac{15b^{2}}{12a^{2}} =\frac{3}{6} =\frac{1}{2}$

4)

$\frac{3a^{3}}{7b} :\frac{9a^{4}}{21b} =\frac{3a^{3}}{7b}*\frac{21b}{9a^{4}} =\frac{3}{3a} =\frac{1}{a}$

5)

$(\frac{ab}{cd} )^{2}*acd=\frac{a^{2}b^{2}}{c^{2}d^{2}} *acd=\frac{a^{3}b^{2}}{cd}$

6)

$abc^{2}*(\frac{ab}{cd} )^{2}=abc^{2}*\frac{a^{2}b^{2}}{c^{2}d^{2}} =\frac{a^{3}b^{3}}{d^{2}}$