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vova2212 [387]
3 years ago
11

If a^1/n=r then which of the following statements are true

Mathematics
2 answers:
posledela3 years ago
6 0

a. This is correct. When you transfer n to the other side, that would be the reciprocal power of a.


b. This is incorrect, because this contradicts with choice a.


c. This is correct. When a number is raised to a "1/n" fraction, that is equivalent to the nth root of the number.


d. This is incorrect, because it is not equivalent to the given equation.


Thus, the answers are A and C.

nlexa [21]3 years ago
4 0

<u>Answer</u>

a. r^n=a

c.^n√a=r

<u>Explanation</u>

<u><em>solution 1</em></u>

a⁽¹/ⁿ⁾  = r

Powering both sides of the equation by n;

a⁽¹/ⁿ ₓ ⁿ⁾ = rⁿ

<em>a¹ = rⁿ </em>

<u><em>solution 2</em></u>

Also,

a⁽¹/ⁿ⁾  = r

a⁽¹/ⁿ⁾ = ⁿ√a           <em>   (nth root of a)</em>

<em>ⁿ√a = r</em>

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