Exponents & Roots
Every lesson explains the concept, works through examples, and gives you practice problems with full solutions. Work through them in order, or jump to the topic you need.
6 lessons
- What Are Exponents? Powers and Bases ExplainedWhat an exponent means, why it is repeated multiplication and not repeated addition, how to read powers aloud, and where exponents sit in order of operations.
- Exponent Rules: Multiplying, Dividing and Powers of PowersThe three core exponent rules and why each one comes down to counting factors: add the exponents to multiply, subtract to divide, multiply for a power of a power.
- Negative and Zero Exponents: Why x⁰ = 1Why any number to the power of zero equals 1, what a negative exponent means, and how to convert between negative powers and fractions without guessing.
- Square Roots: What They Mean and How to Estimate ThemWhat a square root is, why √25 means 5 and not ±5, how to recognize perfect squares, and how to estimate a root like √50 to one decimal place without a calculator.
- Rational and Irrational NumbersWhat makes a number irrational, why every rational number has a terminating or repeating decimal, and how to place an irrational number on a number line.
- Scientific Notation: Writing Very Large and Very Small NumbersHow to write a number in scientific notation, convert back to standard form, decide the sign of the exponent, and multiply or divide numbers written this way.