Question

спрости вираз

((x ^ (3/4)) ^ (1/2) * x ^ (1, 5)) ^ (4/5)
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Answer 1

Ответ:

$x^{\frac{3}{2}}$

Объяснение:

$((x^{\frac{3}{4}})^{\frac{1}{2}}\cdot x^{1,5})^{\frac{4}{5}}}=(x^{\frac{3}{4}\frac{1}{2}})^{\frac{4}{5}}}=(x^{\frac{3}{8}}\cdot x^{\frac{3}{2}})^{\frac{4}{5}}}=(x^{\frac{3}{8}+\frac{3}{2}})^{\frac{4}{5}}}=(x^{\frac{3}{8}+\frac{12}{8}})^{\frac{4}{5}}}=\\\\(x^{\frac{15}{8})^{\frac{4}{5}}}=x^{\frac{15}{8}\cdot\frac{4}{5}}}=x^{\frac{3}{2}}$