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0580 · Notes & worked examples

Zero and negative integer indices · Short practice

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Recall

Zero and negative integer indices — objective 1

Maths4U Original · Short practice

Let \(\displaystyle a=2\). Give exact values.

Evaluate \(a^{2}a^{1}\).

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

Zero and negative integer indices — objective 1

Maths4U Original · Short practice

Let \(\displaystyle a=3\). Give exact values.

Evaluate \(a^{3}a^{2}\).

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

Zero and negative integer indices — objective 2

Maths4U Original · Short practice

Let \(\displaystyle a=3\). Give exact values.

Evaluate \(\displaystyle \frac{a^{3}}{a^{5}}\).

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

Zero and negative integer indices — objective 2

Maths4U Original · Short practice

Let \(\displaystyle a=4\). Give exact values.

Evaluate \(\displaystyle \frac{a^{4}}{a^{7}}\).

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

Zero and negative integer indices — objective 3

Maths4U Original · Short practice

Let \(\displaystyle a=4\). Give exact values.

Evaluate \((a^{4})^{3}\).

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

Zero and negative integer indices — objective 3

Maths4U Original · Short practice

Let \(\displaystyle a=5\). Give exact values.

Evaluate \((a^{5})^{1}\).

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

Zero and negative integer indices — objective 4

Maths4U Original · Short practice

Let \(\displaystyle a=5\). Give exact values.

Evaluate \(a^0a^{1}\).

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

Zero and negative integer indices — objective 4

Maths4U Original · Short practice

Let \(\displaystyle a=2\). Give exact values.

Evaluate \(a^0a^{2}\).

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 →