The Laws of Exponents Exponential Form exponent base

The Laws of Exponents

Exponential Form: exponent base

Laws of Exponents: 1. Multiplying 2. Dividing 3. Power to a Power 4. Zero Power 5. Negative Exponents

1. Multiplying Exponents 2 3 3 × 3 = 3 4 (4 ) = 5 6 · 6 = Now try these: 5 2 (8 )(3 ) = 3 2 2 × 3 =

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)

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

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.

$Negative Exponents: http: //www. virtualnerd. com/pre-algebra/factors-fractions-exponents/exponentproperties/negative-zero-exponents/negative-exponent-definition$

Negative Exponents: http: //www. virtualnerd. com/pre-algebra/factors-fractions-exponents/exponentproperties/negative-zero-exponents/negative-exponent-definition

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!