Cho biểu thức P=x.x3x43P = \sqrt[3]{x.\sqrt[4]{x^{3}\sqrt{x}}}P=3x.4x3x, với x > 0. Mệnh đề nào dưới đây đúng?
P=x58P = x^{\frac{5}{8}}P=x85.
P=x12P = x^{\frac{1}{2}}P=x21.
P=x712P = x^{\frac{7}{12}}P=x127.
P=x724P = x^{\frac{7}{24}}P=x247.
P=x.x3x43=x.x3x1243P = \sqrt[3]{{x.\sqrt[4]{{{x^3}\sqrt x }}}} = \sqrt[3]{{x.\sqrt[4]{{{x^3}{x^{\frac{1}{2}}}}}}}P=3x.4x3x=3x.4x3x21
=x.x7243=x.x783= \sqrt[3]{{x.\sqrt[4]{{{x^{\frac{7}{2}}}}}}} = \sqrt[3]{{x.{x^{\frac{7}{8}}}}}=3x.4x27=3x.x87
=x1583=x1524=x58= \sqrt[3]{{{x^{\frac{{15}}{8}}}}} = {x^{\frac{{15}}{{24}}}} = {x^{\frac{5}{8}}}=3x815=x2415=x85.
