Mathematics, 24.06.2019 23:30 alanrojas0142007
What is the simplest radical form of the expression? ^{\frac{2}{3} })
a. 
b. 
c. ![xy^{5}\sqrt[3]{xy}](/tex.php?f=xy^{5}\sqrt[3]{xy})
d. ![xy^{3}\sqrt[3]{xy}](/tex.php?f=xy^{3}\sqrt[3]{xy})
Answers: 1
![\bf (x^2y^8)^{\frac{2}{3}}\implies \left( x^{2\cdot \frac{2}{3}}y^{8\cdot \frac{2}{3}} \right)\implies x^{\frac{4}{3}}y^{\frac{16}{3}}\implies x^{\frac{3}{3}+\frac{1}{3}}y^{\frac{15}{3}+\frac{1}{3}}\implies x^{1+\frac{1}{3}}y^{5+\frac{1}{3}} \\\\\\ x^1\cdot x^{\frac{1}{3}}\cdot y^5\cdot y^{\frac{1}{3}}\implies x^1\cdot y^5\cdot x^{\frac{1}{3}}\cdot y^{\frac{1}{3}}\implies xy^5\sqrt[3]{x}\sqrt[3]{y}\implies xy^5 \sqrt[3]{xy}](/tpl/images/0013/5528/e557c.png)
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What is the simplest radical form of the expression? [tex](x^{2}y^{8})^{\frac{2}{3} }[/tex] a. [tex...
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