[tex]27^{\frac{2}{3} }[/tex] in radical form is [tex]\sqrt[3]{27^{2} }[/tex]
The value of the expression is 9. The correct option is A
Evaluating an expression
From the question, we are to write the given expression in radical form and then evaluate
The given expression is
[tex]27^{\frac{2}{3} }[/tex]
From one of the laws of indices
[tex]x^{\frac{m}{n} } =\sqrt[n]{x^{m} }[/tex]
∴ [tex]27^{\frac{2}{3} }[/tex] in radical form is [tex]\sqrt[3]{27^{2} }[/tex]
Now, we will evaluate the expression
[tex]\sqrt[3]{27^{2} }[/tex]
= [tex]\sqrt[3]{729}[/tex]
= 9
Hence, the value of the expression is 9. The correct option is A
Learn more on Evaluating an expression here: https://brainly.com/question/14611478
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