The Laws of Exponents Animated floating petals (Difficult)

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The Laws of Exponents Animated floating petals (Difficult)

Exponential Form: exponent 5 3 base

Laws of Exponents: Multiplying Dividing Power to a Power Zero Power
Negative Exponents

1. Multiplying Exponents
32 × 33 =  (43)(44) =  65 · 6 = Now try these: (85)(32) = 23 × 32 =

Multiplying Exponents
What “law” or rule can you come up with for what happens when we multiply exponents?

Multiplying Exponents Law: If you are multiplying exponents with the same base, KEEP the BASE & ADD the EXPONENTS! So, I get it! When you multiply Powers, you add the exponents!

2. Dividing Exponents (Quotient of Powers Law)
=   =  35 ÷ 34 = Now try these: = =

Dividing Exponents What “law” or rule can you come up with for what happens when we divide exponents?

2. Dividing Exponents Law: When dividing exponents with the same base, KEEP the BASE & SUBTRACT the EXPONENTS! So, I get it! When you divide Powers, you subtract the exponents!

Now let’s take a look at Brain Pop and then take the quiz to see if you’re understanding multiplying and dividing exponents!

3. Raising a Power to a Power
(23)3 = (54)2 = (162)3

Power to a Power What “law” or rule can you come up with for what happens when we raise a power to a power?

3. Power to a Power: If you are raising a Power to a power, you multiply the exponents!
So, when I take a Power to a power, I multiply the exponents

4. Zero Power = = 35 ÷ 35 =

4. Zero Law of Exponents: Any base powered by zero exponent equals one.
So zero factors of a base equals 1. That makes sense! Every power has a coefficient of 1.

Negative Exponents:

5. Negative Exponents: If the base is powered
by the negative exponent, then the base becomes reciprocal with the positive exponent. So, when I have a Negative Exponent, I switch the base to its reciprocal with a Positive Exponent. Ha Ha! If the base with the negative exponent is in the denominator, it moves to the numerator to lose its negative sign!