Bellringer
1. What is the rule for multiplying with exponents?
A: same base—keep the base—add the exponents
2. What is the power to power rule for exponents?
A: multiply the exponents
3. How can you tell the difference?
* LOOK at and ANALYZE the problem; look for:
~multiplication symbols
~bases: same base, one base, different bases…integer and/or variable…
~parenthesis: acting as power to power or multiplication operation?
~is the exponent real close to another exponent?
~is the exponent on the inside or outside of the parenthesis?
Lesson—Continued practice of the Power to Power rule for Laws of Exponents
13) (𝑧𝑧 11 )5 = 𝑧𝑧 55
1
3
4
14) � 𝑘𝑘 � =
4
1
256
Easy—power to power—multiply exponents: 11(5) = 55
𝑘𝑘12
*remember, ¼ to the 4th power is (¼)(¼)(¼)(¼)—it is NOT ¼ multiplied by 4!
15) (9𝑥𝑥 11 )3 = 729𝑥𝑥 33
**The exponent of 3 has the parenthesis for the base
***So the exponent of 3 goes to EVERYTHING inside the PARENTHESIS!
(Think of it like this: [ 93 ∙ ( 𝑥𝑥 11 )3 ]
16) [(23 )3 ]2 = 218
= (29 )2
= 218
*Follow PEMDAS and Power-to-Power rules ONE STEP at a time