Question

упростите выражение при условии b>0
$\frac{ ({b}^{ \frac{2}{3} }) {}^{3} \times {b}^{ \frac{3}{4} } }{ ({b}^{ \frac{3}{2} } ) {}^{2} }$
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Answer 1

[b^(2/3)]^3 • b^(3/4) / [b^(3/2)]^2 =
= [b^2 • b^(3/4)] / (b^3) =
= b^2 • b^3 • b^(-4) • b^(-3) =
= b^(2+3-4-3) = b^(-2) = 1/(b^2)