Question: Write the following as an exponential expression. \[ \sqrt[7]{6^6} \]

Write the following as an exponential expression. \[ \sqrt[7]{6^6} \]

Solution

To convert the expression into an exponential form, we can use the property of radicals that states: \[ \sqrt[n]{a^m} = a^{m/n} \] Here, \( a = 6 \), \( m = 6 \), and \( n = 7 \). Applying this property, we get: \[ 6^{6/7} \] So, the exponential expression is \( 6^{6/7} \).