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CSEE (Form 4) Exponents — practice questions

Explore 5 free Exponents questions in CSEE (Form 4) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Exponents questions and exercises with answers

Showing questions 1–5 of 5.

What does exponential notation give a short way of writing?Read the answer and worked solution →Which two other names are used for exponents?Read the answer and worked solution →Both sides of an exponential equation have been written as a single term with the same base. What can be done next?Read the answer and worked solution →Solve for x if 2 raised to the power x equals 32.Read the answer and worked solution →Double your way up the powersRead the answer and worked solution →

Worked practice questions

What does exponential notation give a short way of writing?

  1. A number added to itself often
  2. A number divided by itself
  3. A number subtracted from one
  4. A number multiplied by itself
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Correct answer: D. A number multiplied by itself

1. Writing out a long repeated multiplication takes a lot of space. 2. Exponential notation is a short way of writing the same number multiplied by itself many times. 3. This makes very large and very small numbers much easier to handle. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 2: Exponents_

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Which two other names are used for exponents?

  1. Bases and roots
  2. Factors and terms
  3. Ratios and rates
  4. Indices and powers
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Correct answer: D. Indices and powers

1. The small raised number in exponential notation has more than one common name. 2. Exponents can also be called indices or powers. 3. The number being multiplied is called the base, which is a different part of the notation. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 2: Exponents_

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Both sides of an exponential equation have been written as a single term with the same base. What can be done next?

  1. Equate the two exponents
  2. Add the two exponents
  3. Multiply the two bases
  4. Divide the two bases
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Correct answer: A. Equate the two exponents

1. An exponential equation has the unknown variable sitting in the exponent. 2. If a single term with the same base can be written on each side, the exponents can be equated. 3. That turns the exponential equation into an ordinary equation in the unknown. 4. Reducing both bases to prime numbers is the usual way to reach that form. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 2: Exponents_

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