Fractional indices · Short practice

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Recall

Fractional indices — objective 1

Maths4U Original · Short practice

Let \(\displaystyle N=729\).

Evaluate \(\displaystyle N^{\frac{1}{2}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Fractional indices — objective 1

Maths4U Original · Short practice

Let \(\displaystyle N=4096\).

Evaluate \(\displaystyle N^{\frac{1}{2}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Fractional indices — objective 2

Maths4U Original · Short practice

Let \(\displaystyle N=4096\).

Evaluate \(\displaystyle N^{\frac{1}{3}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Fractional indices — objective 2

Maths4U Original · Short practice

Let \(\displaystyle N=15625\).

Evaluate \(\displaystyle N^{\frac{1}{3}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Fractional indices — objective 3

Maths4U Original · Short practice

Let \(\displaystyle N=15625\).

Evaluate \(\displaystyle N^{\frac{2}{3}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Fractional indices — objective 3

Maths4U Original · Short practice

Let \(\displaystyle N=46656\).

Evaluate \(\displaystyle N^{\frac{2}{3}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Fractional indices — objective 4

Maths4U Original · Short practice

Let \(\displaystyle N=46656\).

Evaluate \(\displaystyle N^{- \frac{1}{2}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Fractional indices — objective 4

Maths4U Original · Short practice

Let \(\displaystyle N=117649\).

Evaluate \(\displaystyle N^{- \frac{1}{2}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →