Day 75 – December 14

Algebra: Chapter 5, Lesson 2, page 209.

Exponents and More!

Exponents and More with Exponents

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!

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 2, page 175.

The Addition Property of Inequalities

Don’t forget, the equations:

• if `a < b`, then `a + c < b + c`
• if `a > b`, then `a + c > b + c`

and similar statements are true for ≤ and ≥

For inequality of one step, follow the EXACT same steps as equalities. The only things we have to remember when graphing on a number line:

• For the symbols ≤ and ≥, the circle must be CLOSED because we INCLUDE the data point
• For the symbols < and >, the circle must be OPEN because we get as close as possible to the data point but it is NOT INCLUDED!

Here is a link from PURPLEMATH.com with some more examples!