To express \((3x^2)^{(2/3)}\) in radical form, you can follow these steps:
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The exponent \((2/3)\) indicates that you will take the cube root (because of the denominator 3) and then square the result (because of the numerator 2).
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In radical form, this expression can be rewritten as: \[ \sqrt[3]{(3x^2)^2} \]
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Now, simplify \((3x^2)^2\): \[ (3x^2)^2 = 3^2 \cdot (x^2)^2 = 9x^4 \]
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Now substitute this back into the radical expression: \[ \sqrt[3]{9x^4} \]
So, the expression \((3x^2)^{(2/3)}\) in radical form is: \[ \sqrt[3]{9x^4} \]