Algebra: Chapter 12, Lesson 5, page 557.
Direct Variation
An equation of the form `y = kx` where `k` is a constant, expresses direct variation. `k` is called the constant of variation. Sometimes you have to solve for the constant of variation given the initial information and then use the `k` to solve additional problems given the same `k`.
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Algebra 1a: Chapter 5, Lesson 2, page 209 – DAY #3
Exponents and More!
Exponents and More with Exponents
For like bases, we have:
- Rule: `a^0=1`
- Rule: to multiply we do `a^m⋅a^n=a^(m+n)
- Rule: to divide, we do `a^m/a^n=a^(m-n)`
- Rule: for negative exponent, we can express them as positive by, `a^(-m)=1/a^m
- Rule: for raising a power to another power, `(a^m)^n=a^(mn)`
- Rule: for raising a product to a power, `(ab)^n=a^n⋅b^n`
- Rule: for raising a quotient to a power, `(a/b)^n=a^n/b^n`
Remember and MEMORIZE THESE RULES for Lessons 1 and 2. Practice here!
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