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Oduvanchick [21]
3 years ago
9

Which is equivalent to sqrt x^10 A. X-5 B. X -1/5 C. X sqrt 10 D. X 1/5 E. X^5

Mathematics
2 answers:
Lesechka [4]3 years ago
5 0
<h3>Answer:  E) x^5</h3>

\sqrt{x^{10}} = x^5

=====================================================

Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is \sqrt{a^b} = a^{b/2}

A more general rule is

\sqrt[n]{a^b} = a^{b/n}

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

nasty-shy [4]3 years ago
3 0

Answer:

E

\sqrt{ {x}^{10} }  \\  =  \sqrt{ ({x}^{5} ) {}^{2} }  \\  =  {x}^{5}

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