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9 October, 06:09

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

check all that apply

a. r^n=a

b. n^1/r=a

c.^n√a=r

d. a^r=n

+1
Answers (2)
  1. 9 October, 06:18
    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.
  2. 9 October, 06:36
    0
    Answer

    a. r^n=a

    c.^n√a=r

    Explanation

    solution 1

    a⁽¹/ⁿ⁾ = r

    Powering both sides of the equation by n;

    a⁽¹/ⁿ ₓ ⁿ⁾ = rⁿ

    a¹ = rⁿ

    solution 2

    Also,

    a⁽¹/ⁿ⁾ = r

    a⁽¹/ⁿ⁾ = ⁿ√a (nth root of a)

    ⁿ√a = r
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