2.1.1

Exponential Rules

Test yourself

Laws of Powers (Indices)

These are the laws that tell us what to do with powers. Powers are sometimes called indices.

Illustrative background for Multiplying powersIllustrative background for Multiplying powers ?? "content

Multiplying powers

  • Add the powers when multiplying powers of the same number.
Illustrative background for Dividing powersIllustrative background for Dividing powers ?? "content

Dividing powers

  • Subtract the powers when dividing powers of the same number.
Illustrative background for Power raised to another powerIllustrative background for Power raised to another power ?? "content

Power raised to another power

  • If an expression with a power is raised to another power, multiply the powers.
Illustrative background for FractionsIllustrative background for Fractions ?? "content

Fractions

  • Apply a power to both top and bottom of a fraction.
Illustrative background for Negative powersIllustrative background for Negative powers ?? "content

Negative powers

  • A negative power means 1 over the positive power.
Illustrative background for RootsIllustrative background for Roots ?? "content

Roots

  • x1/2 means the square root of x.
  • x1/3 means the cube root of x.
  • All roots can be written as x1/n = n√x.

Jump to other topics

1Proof

2Algebra & Functions

2.1Powers & Roots

2.2Quadratic Equations

2.3Inequalities

2.4Polynomials

2.5Graphs

2.6Functions

2.7Transformation of Graphs

2.8Partial Fractions (A2 Only)

3Coordinate Geometry

4Sequences & Series

5Trigonometry

6Exponentials & Logarithms

7Differentiation

8Integration

9Numerical Methods

10Vectors

Go student ad image

Unlock your full potential with GoStudent tutoring

  • Affordable 1:1 tutoring from the comfort of your home

  • Tutors are matched to your specific learning needs

  • 30+ school subjects covered

Book a free trial lesson