what is the rational exponent if the radical expression is ^5√7776

Answer 1

The radical expression \( \sqrt[5]{7776} \) can be expressed using a rational exponent. The general form of a radical expression is given by:

\[ \sqrt[n]{a} = a^{\frac{1}{n}} \]

In this case, you have \( a = 7776 \) and \( n = 5 \). Therefore, you can express the fifth root of 7776 as:

\[ \sqrt[5]{7776} = 7776^{\frac{1}{5}} \]

So, the rational exponent for the radical expression \( \sqrt[5]{7776} \) is \( \frac{1}{5} \).