If a^1/n=r then which of the following statements are true
2 answers:
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.
<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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