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Exponent Laws with Variables — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 3)

Australian Curriculum (ACARA)
Grade 9
Mathematics
40 questions

Applying the exponent laws to numerical expressions with integer exponents and extending to variables (ACARA AC9M9A01), from a rule-application angle.

  • Fill in the Blanks
  • Multiple Choice

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Exponent Laws with Variables

Apply the exponent laws to simplify expressions with integer exponents and variables. This worksheet contains 40 questions worth a total of 40 marks.

Section A: Fill in the Blanks [20 Marks]

Complete each statement by filling in the blank with the correct value or expression.

To simplify x^5 \times x^3, you add the exponents. The simplified form is x^{\_\_\_}. Fill in the missing exponent:

To simplify y^9 \div y^4, you subtract the exponents. The simplified form is y^{\_\_\_}. Fill in the missing exponent:

To simplify (a^6)^2, you multiply the exponents. The simplified form is a^{\_\_\_}. Fill in the missing exponent:

The expression b^{-7} can be written as a fraction with a positive exponent: \frac{1}{b^{\_\_\_}}. Fill in the missing exponent:

When simplifying (cd)^4, the exponent is applied to each factor. The result is c^4 d^{\_\_\_}. Fill in the missing exponent:

Section B: Multiple Choice [20 Marks]

Choose the correct option for each question.

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