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Exponent Laws with Variables — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 1)

Australian Curriculum (ACARA)
Grade 9
Mathematics
40 questions

Extending exponent laws with integer exponents to expressions involving variables (ACARA AC9M9A01), from an application-to-variables angle.

  • One Word Answer
  • True or False

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Exponent Laws with Variables

This worksheet assesses the understanding of exponent laws with integer exponents applied to expressions involving variables. It covers multiplication, division, power of a power, zero, and negative exponent laws. Total: 40 marks.

Section A: True or False?

For each statement, determine if it is true or false. Provide a brief reason for your answer.

The expression x^3 \cdot x^5 simplifies to x^8.

The expression (y^4)^2 simplifies to y^6.

The expression (2a)^3 simplifies to 2a^3.

The expression \frac{b^9}{b^3} simplifies to b^6.

For any non-zero variable c, c^0 = 1.

Section B: Simplify the Expressions

Simplify each expression. Write your answer in its simplest form, using only positive exponents.

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