Exponents and the exponent laws

Base and exponent, squares, cubes and roots, and the exponent laws. Read one part at a time and tap “I know this”. Then test yourself in the quiz.

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Exponents

An exponent says how many times the base is used as a factor: 2⁵ = 2 × 2 × 2 × 2 × 2 (the 2 five times) = 32.

Watch out

3² is not 3 × 2: 3² = 3 × 3 = 9.

Know the squares from 1² to 12²: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Know the cubes from 1³ to 6³: 1, 8, 27, 64, 125, 216.
Work out exponents and roots before ×, ÷, + and −: 2³ + √16 = 8 + 4 = 12.
√(9 + 16) = √25 = 5, but √9 + √16 = 3 + 4 = 7: they are not the same.

Tap when you could tell someone without looking.

Tap when you could tell someone without looking.

Remember this: your summary

Write these points in your book. Read them again the night before the test.

Memory trick

The small number on top is the boss: it says how many times.

Flash cards · Tap to turn over

First say the answer yourself, then turn the card over.

Test yourself · Part 2

Read the question and the answer. Is the answer right? Tap True or False.

Now the real quiz!

The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.

For parents

Let your child work the examples on paper and explain them to you.
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Follows CAPS for Grade 7 Mathematics. Always check your teacher’s notes and textbook too.