Free Year 9 Exponent laws Practice | Skillo
Skillo provides free Year 9 NAPLAN Exponent laws practice (AC9M8N02) for Australian students. No signup, no email, no credit card. Practice questions aligned with the ACARA Australian Curriculum v9.0 strand. Open and start in 10 seconds.
Year 9 students sitting their final NAPLAN need to be confident with exponent laws. Establish and apply the exponent laws with positive integer exponents and the zero-exponent. Skillo has targeted practice questions for this exact skill, mapped to the Australian Curriculum v9.0, free and ready to go.
No account needed. No email. No credit card.
What does the Year 9 NAPLAN Exponent laws test cover?
- Establish and apply the exponent laws with positive integer exponents and the zero-exponent.
- Questions may include word problems set in real Australian contexts
- Both calculator and non-calculator question types are covered
Try a sample Exponent laws question
Question 1 — Easy
Anika is preparing a presentation about the Great Barrier Reef and uses the expression 5^0 + 2^3 × 2^2 to represent a data calculation. What is the value of this expression?
Answer: First simplify 5^0 = 1, since any non-zero base raised to the power of zero equals 1. Then simplify 2^3 × 2^2 = 2^(3+2) = 2^5 = 32. Adding these gives 1 + 32 = 33. Option A ignores the 5^0 term. Option C treats 5^0 as 5^0 = 5 and 2^5 = 1020, showing confusion about zero exponents. Option D treats 5^0 as 5 and adds 5 + 2^3 × 2^2 = 5 + 32 + 3 erroneously.
Question 2 — Medium
Zac is tracking the population growth of kangaroos in a wildlife sanctuary. He writes the expression 6^8 ÷ 6^3 to model a ratio. What is the simplified form of this expression?
Answer: When dividing two powers with the same base, you subtract the exponents: 6^8 ÷ 6^3 = 6^(8−3) = 6^5. Option B results from adding the exponents, which applies the multiplication law. Option C incorrectly subtracts the bases instead of keeping them the same. Option D results from multiplying the exponents, which is the power-of-a-power law.
Question 3 — Hard
Mei is working on a maths problem about the area of a square solar panel. She needs to simplify (2^4)^3. Which expression is equivalent to this?
Answer: When raising a power to another power, you multiply the exponents: (2^4)^3 = 2^(4×3) = 2^12. Option A results from adding the exponents (4 + 3 = 7). Option B results from raising the exponent to the power (4^3 = 64). Option D results from dividing the exponents (4 ÷ 4 = 1), which is not a valid exponent law here.
How should my child prepare for Year 9 NAPLAN Exponent laws?
- Select Year 9 and Numeracy on the home screen
- Use Quick Practice — questions on exponent laws will appear as part of the session
- Check the Skill Breakdown on your profile to track your accuracy on exponent laws specifically
- Review explanations after each question to understand the reasoning behind correct answers
Skillo is free, requires no email or account details, and is built specifically for Australian students. Every question is mapped to the Australian Curriculum v9.0 and filtered by skill so your child practises exactly what they need.
Common questions about NAPLAN Exponent laws
Read more about how Skillo protects student privacy →
Is Skillo really free?
Yes. Skillo is completely free for all Australian students — no subscription, no credit card, no hidden paywall. No free trial that converts to paid.
Does my child need an account?
No. Skillo doesn't require an account to practise. Open any page and start immediately — no email, no registration.
Does Skillo collect any personal information?
No. Skillo is built to require zero personal information. No name, no email, no date of birth is collected from students.
Is Skillo affiliated with NAPLAN?
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.
No account needed. No email. No credit card.
About this practice
Skillo's NAPLAN-style practice is authored independently. NAPLAN® is a registered trademark of ACARA. Skillo is not affiliated with, endorsed by, or sponsored by ACARA.