Questions: Rewrite in radical form. Assume all variables represent nonnegative values. 2^(7 / 9) 2^(7 / 9)=

Solution Steps

To rewrite an expression in radical form, we use the property that \(a^{m/n} = \sqrt[n]{a^m}\). This means that the exponent's denominator becomes the index of the radical, and the numerator remains the power of the base inside the radical.

To rewrite the expression \(2^{7/9}\) in radical form, we apply the property of exponents that states \(a^{m/n} = \sqrt[n]{a^m}\). Here, \(a = 2\), \(m = 7\), and \(n = 9\).

Using the property, we can express \(2^{7/9}\) as: \[ 2^{7/9} = \sqrt[9]{2^7} \]

Final Answer