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Answer:
[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]
Step-by-step explanation:
Given
[tex]2d^{\frac{7}{10}}[/tex]
Required
Determine the radical expression
To do this, we apply the following law of indices:
[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
By comparing the above to [tex]2d^{\frac{7}{10}}[/tex], we have:
[tex]m=7[/tex]
[tex]n = 10[/tex]
So, the solution becomes
[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]