Indices

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The following math revision questions are provided in support of the math tutorial on Indices. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Indices tutorials. The Indices calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

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Indices Revision Questions

1. . What is the smallest index in the expression

1. 2
2. 3
3. 4
4. 5

Reveal AnswerCorrect Answer: B

2. . Which of the following numbers is equivalent to 25?

1. 2 × 5
2. 5 × 2
3. 23 + 22
4. 23 · 22

Reveal AnswerCorrect Answer: D

3. . Which of the following is equivalent to the reciprocal of 81?

1. 34
2. 3 - 4
3. 43
4. 4 - 3

Reveal AnswerCorrect Answer: B

4. . Which of the following expressions is equivalent to

1. a3 · b5
2. a · b
3. a5 · b5
4. a-5 · b - 5

Reveal AnswerCorrect Answer: C

5. . What is the value of the expression

1. 112
2. 28
3. 16
4. 7

Reveal AnswerCorrect Answer: A

6. . What is the value of the expression

1. 23424
2. 23430
3. 20
4. 12

Reveal AnswerCorrect Answer: C

7. . Which of the following numbers is the biggest?

1. 25
2. 52
3. 2 × 5
4. 5 × 2

Reveal AnswerCorrect Answer: A

8. . Which of the following expressions is equivalent to

1. (5² ∙ 3²/7³)⁴
2. (5² ∙ 7³/3²)⁴
3. (3² ∙ 7³/5²)⁴
4. (3² ∙ 7³/5²)²

Reveal AnswerCorrect Answer: C

9. . What is the simplest form of the expression

1. 9a⁶
2. 9a⁸
3. 3a⁶
4. 3a⁸

Reveal AnswerCorrect Answer: D

10. . Which of the following numbers has the smallest reciprocal?

1. (-5)²
2. (-2)⁵
3. 5^-2
4. 2^-5

Reveal AnswerCorrect Answer: C

11. . What is the value of the expression

1. 162
2. -162
3. 216
4. -24

Reveal AnswerCorrect Answer: B

12. . What is

1. -3²⁰
2. -1/3
3. 1/3
4. -3¹⁹

Reveal AnswerCorrect Answer: C

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2. Powers and Roots Math tutorial: Indices. Read the Indices math tutorial and build your math knowledge of Powers and Roots
3. Powers and Roots Video tutorial: Indices. Watch or listen to the Indices video tutorial, a useful way to help you revise when travelling to and from school/college
4. Powers and Roots Revision Notes: Indices. Print the notes so you can revise the key points covered in the math tutorial for Indices
5. Check your calculations for Powers and Roots questions with our excellent Powers and Roots calculators which contain full equations and calculations clearly displayed line by line. See the Powers and Roots Calculators by iCalculator™ below.
6. Continuing learning powers and roots - read our next math tutorial: Roots

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