Question

If n√a=r , then which of the following are true statements? Check all that apply. A. r^n=a B. a^1/n=r C. a^r=n D. n^1/r=a

Answer 1

Answer:

A. r^n=a

B. a^1/n=r

Step-by-step explanation:

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Answer 2

The true statements about the equation $\sqrt[n]a = r$ are (a) r^n=a and (b) a^1/n=r

How to determine the true statements?

The equation is given as:

$\sqrt[n]a = r$

Take the power of n on both sides of the equation

$(\sqrt[n]a)^n = r^n$

This gives

a = r^n

Rewrite as:

r^n = a

Also, we have:

$\sqrt[n]a = r$

Apply the law of indices

a^1/n = r

Hence, the true statements about the equation $\sqrt[n]a = r$ are (a) r^n=a and (b) a^1/n=r

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