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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


Sagot :

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]