Year 8 / Grade 8 • Daily Maths Drill
Indices and Roots
Apply exponent laws and reason with roots and rational/irrational numbers.
8 questions • 240-question rotating bank • 30 different sets before a full cycle repeats
8Questions
240Question bank
0Best score
💡 Quick Review
Indices and Roots
When multiplying equal bases add exponents; when dividing subtract them; a power raised to a power multiplies exponents.
Key ideas
- index laws
- zero exponent
- negative exponent introduction
- square roots
- irrational numbers
Formula / rule: a^m×a^n=a^(m+n); a^m÷a^n=a^(m−n).
Worked example: x³×x⁴=x⁷.
Common trap: Index laws require the same base.
Key words
base — repeated factor
index — exponent
irrational — not expressible as ratio of integers
root — inverse of a power
power — repeated multiplication
How to use this drill: review the short notes when learning, then close them on later attempts and practise from memory. The rotating bank delays a full set repeat for 30 attempts on the same browser.