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rewrite the expression $2\sqrt4{x^7}$ using rational exponents.

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# Explanation:
## Step1: Recall the formula for converting radicals to rational exponents. The nth root of a number $ a $ can be written as $ a^{\frac{1}{n}} $, and $ \sqrt[n]{a^m}=a^{\frac{m}{n}} $.
## Step2: Apply the formula to the given expression $ 2\sqrt[4]{x^7} $. Here, $ n = 4 $ and $ m = 7 $ for the radical part $ \sqrt[4]{x^7} $, so it can be rewritten as $ x^{\frac{7}{4}} $. The coefficient 2 remains as it is. So the expression becomes $ 2x^{\frac{7}{4}} $.
# Answer:
$ 2x^{\frac{7}{4}} $

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Explanation:

Step1: Recall the formula for converting radicals to rational exponents. The nth root of a number \( a \) can be written as \( a^{\frac{1}{n}} \), and \( \sqrt[n]{a^m}=a^{\frac{m}{n}} \).

Step2: Apply the formula to the given expression \( 2\sqrt[4]{x^7} \). Here, \( n = 4 \) and \( m = 7 \) for the radical part \( \sqrt[4]{x^7} \), so it can be rewritten as \( x^{\frac{7}{4}} \). The coefficient 2 remains as it is. So the expression becomes \( 2x^{\frac{7}{4}} \).

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