Treasure Inspiration
Indices & Powers
T

Negative and Fractional Indices

Push a bit harder. Apply what you know to less familiar problems.

Mathematics · Medium

5

questions · ~4 min · 3 hints each (−5 pts)

Confidence tracking, 3-tier hints and instant feedback.

What you'll learn

Each question helps you build key knowledge and skills.

  • 1A negative index means take the reciprocal of the positive power.
  • 2A power of 1/2 means take the square root; a power of 1/3 means the cube root.
  • 3Apply an outer power to every factor inside a bracket.
  • 4Combine index laws step by step, simplifying inside brackets first.

Question mix

A mix of question types to build your skills.

  • Fill the gap×5

Different question types help you think in different ways.

How it works

A simple 3-step process

  1. 1

    Rate your confidence

    Tell us how sure you feel before answering. It helps us understand your starting point.

  2. 2

    Use hints if stuck

    Get up to 3 helpful hints per question. Each hint costs 5 Treasure Points.

  3. 3

    See what went wrong

    Get instant feedback with clear explanations, so you can learn and improve.

Ready when you are

This takes about 4 minutes.