Lesson 2.1.1
2.1.1 Laws of indices for all rational exponents Quiz: Pearson Edexcel Maths, Unit 2
20 questions
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Lesson 2.1.1, Laws of indices for all rational exponents: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 2: Algebra and functions, written with Revision Ninja.
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The 20 questions
-
What is the simplified value of $x^3 \times x^4$?
- 7x
- x^34
- x^12
- x^7
-
Simplify the algebraic expression $(x^3)^4$.
- 4x^3
- x^12
- 3x^4
- x^7
-
Evaluate $16^{\frac{1}{2}}$ exactly.
- 4
- 32
- 8
- 256
-
What is the value of $8^{\frac{2}{3}}$?
- 6
- 2
- 16/3
- 4
-
Rewrite $5^{-1}$ as a positive index fraction.
- 5
- -5
- 1/5
- -1/5
-
What is the value of any non-zero number raised to the power of zero?
- 0
- The number itself
- 1
- Undefined
-
Simplify $\frac{x^6}{x^2}$ for $x \neq 0$.
- x^8
- x^3
- x^4
- x^12
-
Express $\sqrt[3]{x}$ using a rational exponent.
- x^{1/3}
- x^3
- 1/3x
- 3x
-
Evaluate $27^{-\frac{1}{3}}$.
- -9
- 1/3
- 3
- -3
-
What is the result of simplifying $(2x)^3$?
- 8x^3
- 8x
- 2x^3
- 6x^3
-
Simplify $x^{\frac{1}{2}} \times x^{\frac{3}{2}}$ completely.
- x^2
- x^{4/3}
- x
- x^{3/4}
-
Evaluate $3^0 \times 3^2$.
- 1
- 9
- 27
- 0
-
Rewrite $\frac{1}{x^4}$ using a negative index.
- 4x^{-1}
- -x^4
- x^{-4}
- -4x
-
What is the simplified form of $(x^{-2})^3$?
- x^{-5}
- x^6
- x^1
- x^{-6}
-
Evaluate $4^{-\frac{3}{2}}$.
- 8
- -1/8
- 1/8
- -8
-
Simplify $\frac{x^{-3}}{x^{-5}}$ for $x \neq 0$.
- x^{-8}
- x^2
- x^8
- x^{-2}
-
What is the exact value of $32^{\frac{3}{5}}$?
- 24
- 12
- 6
- 8
-
Express $\frac{1}{\sqrt{x}}$ as a power of $x$.
- x^{-1/2}
- x^{-2}
- x^2
- x^{1/2}
-
Simplify $2x^{\frac{1}{2}} \times 3x^{\frac{1}{2}}$.
- 6x
- 6x^{1/2}
- 5x
- 6x^{1/4}
-
Evaluate $( \frac{9}{4} )^{-\frac{1}{2}}$ precisely.
- -3/2
- 3/2
- -2/3
- 2/3
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