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makkiz [27]
3 years ago
11

Wich expression represents 5/34 in rational exponent form

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Option C:

$\sqrt[5]{34} =34^{\frac{1}{5} }

Solution:

Given expression is \sqrt[5]{34}.

To write the given expression in rational exponent form.

Using rational exponent rule:

$\sqrt[n]{a^m} =a^{\frac{m}{n} }

i. e. $\sqrt[\text{root}]{a^\text{power}} =a^{\frac{\text{power}}{\text{root}} }

Given  \sqrt[5]{34}

Here, root is 5 and power is 1.

Write it using the rational exponent rule,

$\sqrt[5]{34} =34^{\frac{1}{5} }

Therefore option C is the correct answer.

Hence $\sqrt[5]{34} =34^{\frac{1}{5} }.

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