Properties of Exponents Test-Out Question 33 • 32 a4 • b5 c3 c7 (4) (d4)6

Test-Out Question 35 or 243 cannot combine c-4 d24 ANSWERS Test-Out Question 35 or 243 cannot combine c-4 d24

Know and apply the properties of exponents Common Core #3 Know and apply the properties of exponents

THERE ARE 3 RULES FOR EXPONENTS HOW MANY ARE THERE? THERE ARE 3 RULES FOR EXPONENTS

Multiplying Powers With the Same Base 23 • 24 = 27 e7 • e11 = e18 5-3 • 52 = 5-1 y5 • y-8 = y-3

am • an = am+n. Product of Powers Rule For any number a, and all integers m and n, am • an = am+n.

Dividing Powers With The Same Base (1) = 72 (2) = x1 or x (3) = 2-3 (4) = e0 or 1 Why is anything to the zero power 1? x 10 9 7 5 3 2 5 e 3

Quotient of Powers Rule For any number a, and all integers m and n, = am-n. a m n

Exponent to another Exponent

Power of Powers Rule For any number, a, and all integers m and n,

There will be a few you have to think about Practice Problems Page 98 13-24 There will be a few you have to think about

We will put some on the board soon. NOTEBOOK EXAMPLES Write a few unique problems using the three laws of exponents(combine all three if you can). We will put some on the board soon.