Growth & Decay
Rational Indices

Growth and Decay

Index Law Review

• ​Multiplying indices
• Dividing indices
• Power of a power
• The zero power
• Expanding quotients
• What are negative indices
• Simplifying with negative indices
• Rational indices​

Surds Review

• Simplifying surds
• Operating with surds
• Division by surds​

---

Expansion & Factorisation With Indices

• Expansion with rational indices
• Factorisation with rational indices (1/2)
• Factorisation with rational indices (2/2)
• Exponential equations (equating indices)
• Solving exponential equations (factorising example)​

Exponential Growth

• Introduction to exponential growth
• Writing numerical exponential growth expressions
• Interpreting values of exponential expressions
• Writing algebraic exponential growth expressions
• Exponential growth worded problem with TI-84 Plus CE

​Exponential Decay

• Introduction to exponential decay
• ​Exponential decay worded problem​

---

Logarithms

• Introduction to logarithms
• Evaluating logarithms
• Introducing the logarithm product and quotient laws
• Introducing the logarithm power law
• Simplifying using the product and quotient laws
• Simplifying using the power law​​

The Natural Exponential & Logarithm

• What is e?
• The natural logarithm

Solving Exponential Equations

• Solving exponential equations using logarithms
• Solving exponential growth problem using logarithms​

A rational indice is an exponent that is a fraction. The numerator of the fraction indicates what power to raise the base to. The denominator of the fraction indicates what root of the result to find.