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what are indices in maths Informational
- What happens when a negative number is raised to an odd power? Evaluate $(-3)^2$.
- Simplify $\sqrt{27}$ using indices. Simplify $\sqrt{32}$ using indices.
- Time and space complexity are often expressed using powers. What are some interesting mathematical problems or puzzles that involve indices? How can you prove the laws of indices using the definition of exponentiation?
- The Richter scale is logarithmic.
- How is doubling time related to the base of the exponential function? What is the concept of half-life in exponential decay?
- Calculators for evaluating powers.
- What are the advantages of using indices? Simplify $a^5 \times a^2$.
- What is the formula for compound interest involving exponents?
- Simplify $(\frac{2a^{-1}b^2}{4a^3b^{-4}})^3$. What are surds?
- What is the general term of a geometric sequence involving a common ratio raised to a power? How are indices related to growth and decay models?
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