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Rewrite these roots as values with an exponent.
Rewrite each expression using a root.
Complete the table so that each row has equivalent values expressed in different forms.
Another exponent rule states that \((mn)^p = m^p n^p\). For example, \((3x)^2 = 3^2 x^2 = 9x^2\), and \((xyz^2)^3 = x^3 y^3 (z^2)^3 = x^3 y^3 z^6\).
Use this rule to show why \(\sqrt[3]{x^3 y^6 z^4} = xy^2z\sqrt[3]{z}\), by converting each side of the equation to its exponential form.
Use exponent rules to show that the equations are true.
