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s2008m [1.1K]
3 years ago
13

X^9/7 convert from exponent form to radical form

Mathematics
1 answer:
Wittaler [7]3 years ago
4 0

Answer:

x^{\frac{9}{7}} = \sqrt[7]{x^9}

Step-by-step 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.

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