What are the properties of exponential functions? How are indices used in scientific notation?
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what are indices in maths Informational
- What is the relationship between intensity and the square of amplitude?
- What are the properties of exponential functions? How are indices used in scientific notation?
- What is the inverse operation of exponentiation? If $a^b = c$, how can this be written in logarithmic form?
- Errors when simplifying expressions with indices.
- Using the definition of repeated multiplication. Using mathematical induction for integer exponents. How does the concept of indices relate to the fundamental theorem of algebra? How are indices used in the definition of eigenvalues and eigenvectors of a matrix? How are indices used in the theory of Lie groups and Lie algebras? What are some connections between indices and other areas of mathematics that we haven't discussed yet?
- What are the advantages of using indices? Simplify $a^5 \times a^2$.
- Use a calculator or software to verify results. Work backwards from the simplified form.
- Real number indices.
- What does 10 cubed mean?
- Natural logarithm $\ln x$ has base $e$. How does the concept of indices extend to functions (e.g., iteration of functions)?
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