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What’s (2a) with an exponent of 6/5 in radical form?

What’s (2a) with an exponent of 6/5 in radical form?-example-1
User Rhamel
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1 Answer

5 votes

Answer: Choice A

Reason:

Use the rule that
a^(b/c) = \sqrt[c]{a^b} = \left(\sqrt[c]{a}\right)^b

This means,
(2a)^(6/5) = \sqrt[5]{(2a)^6} = \boldsymbol{\left(\sqrt[5]{2a} \ \right)^6}

As another example,
m^(2/3) = \sqrt[3]{m^2} = \left(\sqrt[3]{m} \ \right)^2

User Zak Henry
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