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YEAR 8 · HIGH SCHOOL MATHEMATICS

Index laws.

Count factors to understand powers, then combine product, quotient, power and zero-index laws.

6 lessons1 practice test

Work through the topic

Learn the method, follow the examples, then try the worksheet.

01
Exponent notation review
Read a power as repeated multiplication and identify exactly which value is its base.
16 min · Worked examples & worksheet
02
Multiplying same-base powers
Combine products of same-base powers by counting their total equal factors.
16 min · Worked examples & worksheet
03
Dividing same-base powers
Simplify a quotient of same-base powers by cancelling matching factors.
16 min · Worked examples & worksheet
04
Powers of powers
Treat a power raised to another power as repeated groups of equal factors.
16 min · Worked examples & worksheet
05
Zero index
Explain the zero-index rule for a nonzero base and use it carefully.
16 min · Worked examples & worksheet
06
Combining numerical index laws
Combine numerical index laws, explaining each operation rather than using one blind shortcut.
16 min · Worked examples & worksheet

AFTER THE LESSONS

Topic review

Revisit the key ideas, then choose a practice paper.

1 practice test · Separate worked marking guides