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Warm Up - complete in your notebook in WU section. These will be checked during the binder check. Simplify. 5xy + 12x – 3xy +3x – 19 Which of the follow is NOT a term? 6x 5x – 12 = 43 12 – 9y 8by Simplify and Evaluate. 4x 2 y – 5x + 2y 3 – 12. Exponent Laws & Combining like terms.

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Warm Up-complete in your notebook in WU section. These will be checked during the binder check.

• Simplify.

5xy + 12x – 3xy +3x – 19

• Which of the follow is NOT a term?

6x 5x – 12 = 43 12 – 9y 8by

• Simplify and Evaluate.

4x2y – 5x + 2y3– 12

### Exponent Laws & Combining like terms

August 27th

• Look at your expression and evaluate! Line up in order from biggest to smallest!

So we can say that any time you see a 0 exponent, the expression is equivalent to 1.

Try 00:

This is never equal to 1.

So for instance (x)0 = 1, for all x  0.

Even if it looks like this (xyz)0 = 1.

Even if it looks like this

(x3 + x2y – 25xy2 + 50)0 = 1

It doesn’t matter what it looks like because anything to the 0 power is 1.

Type in to your calculator 32 = _______.

Type in to your calculator 22 = _______.

Type in to your calculator 42 = ________.

Type in to your calculator 3 (-2) = _______.

Type in to your calculator 2 (-2) = _______.

Type in to your calculator 4 (-2) = ________.

Do you notice a pattern?

Type in to your calculator = _______.

Type in to your calculator = ________.

Do you notice a pattern here?

So we can say that bases with a negative exponent switch sides.

So to make it simpler for solving. You need to rewrite expressions, so that all of the exponents become positive.

For example:

• 3-2

• 6-1

• (-4)-2

1.

2.

When a fraction is in parentheses with a negative exponent, DISTRIBUTE the exponent and MOVE your terms.

1. 2.

3. 4.

Now: Evaluate when a = 3 and b = 2

Expand & Simplify35 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = 243

• 124 =

• (-5)7 =

• (0.5)-3 =

4. (32)5 =

5. (34)-2 =

1.

2.

3.

4.

5.

6.

### Do you remember the game Memory?

• You can only COMBINE terms that match.

• X matches X

• X does not match x2

• Terms must match in VARIABLES and EXPONENTS

• Circle each pair in a different color marker

• Dominoes!

• Find the answer, connect the dominoes.

• Write out work on a sheet of paper and if you don’t want to connect the dominoes write numbers on them so I know the order.