7.0k views
12 votes
X^9/7 convert from exponent form to radical form

User Gkiely
by
6.6k points

1 Answer

14 votes

Answer:


x^{(9)/(7)} = \sqrt[7]{x^9}

Explanation:

You can solve this by realising that the denominator of a fractional exponent can be expressed as the base of a radical.

Note also that the order does not matter. You could also express it as


\sqrt[7]{x}^9

The reason this works is that you're effectively breaking the exponent into fractions. The first answer is the equivalent of:


(x^9)^(1/7)

and the second would be:


(x^(1/7))^9

In both cases, the exponents would be multiplied, giving the same result.

User Amarjeet
by
6.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.