Day 73 – December 12

Algebra: Chapter 5, Lesson 1, page 204.

Exponents!

Exponents and More with Exponents

Remember, an exponent tells how many times we use a base as a factor. For example, `a^3=a⋅a⋅a`. An expression written with exponents is written using exponential notation.

For like bases, we have:

  1. Rule: `a^0=1`
  2. Rule: to multiply we do `a^m⋅a^n=a^(m+n)
  3. Rule: to divide, we do `a^m/a^n=a^(m-n)`
  4. Rule: for negative exponent, we can express them as positive by, `a^(-m)=1/a^m
  5. Rule: for raising a power to another power, `(a^m)^n=a^(mn)`
  6. Rule: for raising a product to a power, `(ab)^n=a^n⋅b^n`
  7. 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!

They are also included in the Algebra Cheat Sheet that was passed today. As long as you remember these 7 formulae, you’ll be OK. Remember, if you forget the rules, just write out the problem and see what can be simplified!

PurpleMath has an EXCELLENT 2 page tutorial, click here!

Two of tonight’s homework problems solved by MrE are here! Just click it.

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Algebra 1a: Chapter 4, Lesson 1, page 172.

Inequalities and Their Graphs

Symbols:

  • `<`, is less than
  • `≤`, is less than or equal to
  • `>`, is greater than
  • `≥`, is greater than or equal to

Open or closed circles on the number line:

  • OPEN CIRCLE  (get as close to the value BUT don’t touch) it for `<` or `>`
  • CLOSED CIRCLE (included the value on the number line) for `≤` or `≥`
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