Introduction
This guide helps students learn exponent rules in Grade 9 Math and prepare for EQAO-style assessment questions. It mirrors the structure of the Exponents Worksheet (Grade 9 & 10) and explains how to teach each section.
What Are Exponents?
Exponents are a shortcut for repeated multiplication. For example, x3 means x × x × x.
Key Exponent Rules (as in the Worksheet)
1) Multiplying powers with the same base: am × an = am+n
2) Dividing powers with the same base: am ÷ an = am−n
3) Power of a power: (am)n = am×n
4) Power of a product: (ab)n = an bn
How to Teach the Worksheet
Part A – Basic (Build Confidence)
Goal: Practice one exponent rule at a time.
Teaching tips:
• Point out the base (same letter) before doing anything.
• Decide whether the question is multiply, divide, or power of a power.
• Apply the rule and simplify.
Part B – Intermediate (Combine Rules)
Goal: Combine coefficient multiplication with exponent rules.
Teaching tips:
• Multiply numbers separately from variables.
• Add exponents when multiplying like bases.
• Subtract exponents when dividing like bases.
• Distribute an outside exponent to every factor inside brackets.
Part C – Advanced (EQAO-Style Practice)
Goal: Multi-step simplification with careful organization.
Teaching tips:
• Keep brackets until you finish applying powers.
• Watch negatives: odd powers keep the negative, even powers make it positive.
• Simplify step-by-step to avoid mistakes.
Worked Example (Proper Exponent Formatting)
Example: x3 × x5 = x8
Reason: When multiplying the same base, add the exponents (3 + 5 = 8).
Support for EQAO (Richmond Hill)
An EQAO Grade 9 Math Tutor in Richmond Hill can help students:
• Build a consistent step-by-step method for exponent questions
• Catch common mistakes (sign errors, mixing rules, forgetting brackets)
• Practice EQAO-style questions with feedback
Extra practice: