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ludmilkaskok [199]
3 years ago
7

Select the simplification that accurately explains the following statement. √9=9 1/2

Mathematics
2 answers:
lesya692 [45]3 years ago
6 0
All answers are the same, 9, but only the first choice follows a correct simplification.
slega [8]3 years ago
4 0

Answer:

Option A is correct.

Step-by-step explanation:

Given: \sqrt{9}=9^{\frac{1}{2}}

To find: True Statement for (9^{\frac{1}{2}})^2

We use the following Law of Exponent,

x^a\times x^b=x^{a+b}

Consider,

(9^{\frac{1}{2}})^2

=9^{\frac{1}{2}}\times9^{\frac{1}{2}}

Using Law of Exponent,

=9^{(\frac{1}{2}+\frac{1}{2})}

=9^{\frac{1+1}{2}}

=9^{\frac{2}{2}}

=9^{1}

=9

Therefore, Option A is correct.

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