Subjects › Algebra

Exponents and radicals

Index laws, negative and fractional exponents, surds.

The idea

Every index law follows from writing the powers out. Learners who memorise the laws mix them up; learners who can re-derive one in five seconds never do.

Lesson

No lesson built yet. The worked solutions below are the material it would be assembled from.

Questions (5)

Question Type Difficulty Drift Accuracy
Simplify: x⁵ · x³ mcq Easy -1.40 — — (0)
Evaluate: 2⁻³ numeric Easy -0.90 — — (0)
Simplify: (3x²y)³ mcq Moderate -0.20 — — (0)
Evaluate: 16^(3/4) numeric Moderate 0.40 — — (0)
Explain why x⁰ = 1 for any non-zero x. short Hard 1.00 — — (0)