iWorksheetz

Exponent Laws with Variables — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 2)

Australian Curriculum (ACARA)
Grade 9
Mathematics
24 questions

Full mixed revision of exponent laws with variables (ACARA AC9M9A01).

  • Mix Questions

Preview the questions

Showing 5 of 24 questions from this worksheet.

Exponent Laws with Variables

A revision worksheet on applying index laws to algebraic expressions with integer indices. Total marks: 24.

Section A: Multiple Choice [6 Marks]

Choose the single correct answer for each question.

Which expression is equivalent to x^5 \cdot x^3?

Simplify the expression \frac{y^9}{y^3}.

Which of the following is equivalent to (a^4)^5?

How can b^{-7} be written with a positive exponent?

What is the value of 5m^0 for m \neq 0?

Section B: Fill in the Blanks [6 Marks]

Complete each equation by filling in the missing value.

Section C: True or False [6 Marks]

Determine if each statement is true or false.

Section D: Short Answer [6 Marks]

Simplify each expression completely. Write your answer in its simplest form.

19 more questions in the full worksheet

Create a free account to open all 24 questions, download the printable PDF with its answer key, assign it online, or remix it at a different difficulty.

No credit card required · Printable PDF · Auto-graded online assignments

Related worksheets

More Mathematics practice at Grade 9 level.

Grade 9 Mathematics

Variation of Parameters in Functions and Relations (Set 2)

Full mixed revision of variation of parameters in functions and relations (ACARA AC9M9A06).

24 questions Preview →
Grade 9 Mathematics

Variation of Parameters in Functions and Relations (Set 1)

Generalising emerging patterns from the variation of parameters on functions and relations (ACARA AC9M9A06), from a pattern-generalisation angle.

40 questions Preview →
Grade 9 Mathematics

Variation of Parameters in Functions

Experimenting with the effects of variation of parameters on graphs of related functions using digital tools, making connections between graphical and algebraic representations (ACARA AC9M9A06), from a parameter-exploration angle.

40 questions Preview →
Grade 9 Mathematics

Mathematical Modelling with Linear and Quadratic Functions (Set 1)

Full mixed revision of mathematical modelling with linear and quadratic functions (ACARA AC9M9A05).

24 questions Preview →
Grade 9 Mathematics

Mathematical Modelling with Linear and Quadratic Functions (Set 2)

Using mathematical modelling to solve problems involving change in financial and other applied contexts, choosing to use linear or quadratic functions, interpreting solutions and evaluating the model (ACARA AC9M9A05), from a modelling angle.

40 questions Preview →
Grade 9 Mathematics

Graphing and Solving Quadratic Equations (Set 2)

Full mixed revision of graphing and solving quadratic equations (ACARA AC9M9A04).

24 questions Preview →