VC2M10A02 Official strand: Algebra

Products and quotients of powers

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Apply exponent laws to algebraic products and quotients without losing restrictions.

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Simplify (2x^1)(2x^1).

A6x^2 B4x^2 C4x^3 D5x^2

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Answer: 4x^2

Multiply coefficients: 2 × 2 = 4.
Add exponents of x: 1 + 1 = 2.
The product is 4x^2.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Apply exponent laws to algebraic products and quotients without losing restrictions.

Read the official VCAA curriculum description (VC2M10A02)

These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.

VC2M10A02-C01Multiply coefficients and add like-base exponents.
VC2M10A02-C02Divide coefficients and subtract equal-base exponents.
VC2M10A02-C03Apply and explain products and quotients of powers using calculate and explain each step.
VC2M10A02-C04Apply and explain products and quotients of powers 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

D01
Multiply monomialsMultiply coefficients and add like-base exponents.
D02
Divide monomialsDivide coefficients and subtract equal-base exponents.
D03
Calculate and explain each stepApply and explain products and quotients of powers using calculate and explain each step.
D04
Read and connect representationsApply and explain products and quotients of powers using read and connect representations.