Respuesta :
Answer: E) x^5
[tex]\sqrt{x^{10}} = x^5[/tex]
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Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]
A more general rule is
[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Answer:
E
[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]
