Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer 1

Answers:

a = 3, b = 6, c = 5

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Explanation:

There's not much to say other that the rule we use is

$\sqrt[c]{a^b} = a^{b/c}$

The c is the index of the root or radical. It's the denominator of the fractional exponent b/c. Comparing terms, we see that a = 3, b = 6 and c = 5.

You could simplify the a^b portion, but it seems like your teacher doesn't want that (right now).

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Side notes:

• if c = 2, then we have a square root and often the index number isn't shown at all. So $\sqrt[2]{x} = \sqrt{x}$. Its only when c > 2 is when we can't drop the number, or else it'll get mistaken for a square root.
• If c = 1, then we won't have any radical. We'll have a^(b/c) = a^b if c = 1.

Answer 2

Answer:

a = 3, b = 6, c = 5