Exponent laws with integers and variables
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Log in to continueUse products, quotients, powers, zero exponents and negative exponents with their restrictions.
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Evaluate 2^-2.
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Answer: 1/4
- A negative exponent means the reciprocal of the positive power.
- A non-zero base to power zero equals 1.
- 2^-2 = 1/4.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use products, quotients, powers, zero exponents and negative exponents with their restrictions.
Read the official VCAA curriculum description (VC2M9A01)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M9A01-C01Evaluate integer powers of non-zero numbers.
- VC2M9A01-C02Choose the exponent law for the written operation.
- VC2M9A01-C03Use digital tools to investigate or verify patterns.
- VC2M9A01-C04Apply and explain exponent laws with integers and variables using calculate and explain each step.
- VC2M9A01-C05Apply and explain exponent laws with integers and variables using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Zero and negative powersEvaluate integer powers of non-zero numbers.
- D02Combine powers of one variableChoose the exponent law for the written operation.
- D03Calculate and explain each stepApply and explain exponent laws with integers and variables using calculate and explain each step.
- D04Read and connect representationsApply and explain exponent laws with integers and variables using read and connect representations.