Rational Indices (VCE SSCE Mathematical Methods): Quizzes

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Rational Indices
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What does a1na^{\frac{1}{n}} equal for positive real number aa and natural number nn?

an\sqrt[n]{a}

Which notation is equivalent to a\sqrt{a}?

a12a^{\frac{1}{2}}

What is the value of 9129^{\frac{1}{2}}?

33

When can we use rational indices with negative bases?

Only when the root (denominator) is odd

What is (8)13(-8)^{\frac{1}{3}}?

2-2

In amna^{\frac{m}{n}}, what does the denominator nn represent?

The root to find

What is 9129^{-\frac{1}{2}}?

13\frac{1}{3}

What is 165216^{\frac{5}{2}}?

10241024

When multiplying powers with the same base, what do you do with rational indices?

Add the indices

What is (amq)np(a^{\frac{m}{q}})^{\frac{n}{p}} equal to?

amq×npa^{\frac{m}{q} \times \frac{n}{p}}

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