Lesson 2.18
2.18 Index laws, including fractional and negative indices and the solution of equations Quiz: AQA Further Maths, Unit 2
20 questions
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Lesson 2.18, Index laws, including fractional and negative indices and the solution of equations: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 2: Algebra, written with Revision Ninja.
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The 20 questions
-
Simplify x^3 × x^5.
- x^2
- x^15
- x^(−2)
- x^8
-
What is the value of 5^0?
- 0
- 1
- 5
- undefined
-
What is 4^(−1)?
- 4
- −1/4
- 1/4
- −4
-
What is 9^(1/2)?
- −3
- 4.5
- 3
- 81
-
Simplify (x^2)^3.
- x^8
- x^9
- x^6
- x^5
-
What is 8^(2/3)?
- 16
- 12
- 2
- 4
-
Express x^(1/2) × x^(3/2) ÷ x as a single power of x.
- x^3
- x^2
- x
- x^(1/2)
-
Simplify (x^3y^2)^2 ÷ (x^2y).
- x^5y^3
- x^8y^3
- x^4y^2
- x^4y^3
-
Evaluate 16^(−3/4).
- 1/4
- 1/8
- 8
- −8
-
Solve 2^x = 32.
- 6
- 4
- 16
- 5
-
Solve x^(2/3) = 4.
- 16
- 8
- 2
- 64
-
Solve 3^(x + 1) = 27.
- 2
- 4
- 3
- 26
-
Simplify (2x^(−1))^3.
- 6/x^3
- 2/x^3
- 8/x^3
- 8x^3
-
Simplify (27x^6)^(1/3).
- 27x^2
- 9x^2
- 3x^3
- 3x^2
-
Solve x^(−1) = 1/5.
- x = 5
- x = 1/5
- x = −1/5
- x = −5
-
Solve x^(−3/2) = 1/8.
- x = 64
- x = 4
- x = 2
- x = 16
-
Solve 4^x = 2^(x + 3).
- −3
- 3
- 6
- 1.5
-
Simplify (8a^6b^(−3))^(2/3).
- 2a^4/b^2
- 4a^4b^2
- 16a^4/b^2
- 4a^4/b^2
-
Solve (x + 1)^(1/2) = 3.
- 4
- 9
- 8
- 2
-
If 2^n = 5, what is 2^(n + 3)?
- 15
- 10
- 40
- 125
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