Write the following as an exponential expression. root(3)(y^(2))

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Write the following as an exponential expression.  root(3)(y^(2))

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Identify Components: Identify the components of the expression. The expression is the cube root of y squared. This involves a radical expression with an index of 3, since it is a cube root, and an exponent of 2, because it is y squared.Convert to Exponential: Convert the radical expression to an exponential expression. The cube root of a number can be expressed as that number raised to the power of 1/3. Therefore, the cube root of y squared is y squared raised to the power of 1/3.Apply Power Rule: Apply the power to a power rule. When you raise a power to another power, you multiply the exponents. In this case, y squared (y^2) raised to the power of 1/3 is y^(2 * 1/3).Perform Exponent Multiplication: Perform the multiplication of the exponents. Multiply 2 by 1/3 to get 2/3. So, y squared raised to the power of 1/3 is y^(2/3).

Write the following as an exponential expression. $\newline$ $\sqrt[3]{y^{2}}$

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Write the following as an exponential expression. $\newline$ $\sqrt[3]{y^{2}}$