Which expression is equivalent to x27y 1/3

Answer:[tex](x^{9}y^\frac{1}{3})[/tex]or[tex](x^{9}\sqrt[3]{y})[/tex]Step-by-step explanation:Given in the question an expression[tex](x^{27}y )^\frac{1}{3}[/tex]We will apply the power ruleThe "power rule" tells us that to raise a power to a power, just multiply the exponents.[tex](x^{27*\frac{1}{3} }y^\frac{1}{3})[/tex][tex](x^{9}y^\frac{1}{3})[/tex]As we know that[tex]x^{1/n} = \sqrt[n]{x}[/tex]so we can write the above expression as[tex](x^{9}\sqrt[3]{y})[/tex]