Division Properties of Exponents

Properties of Exponents

Let's learn and practice!

Addition and Subtraction

In order to add or subtract variables with exponents, you need to have like bases and like exponents, which means that the bases and exponents are the same. It does not matter if the bases are letters or even symbols; they need to be alike to be added or subtracted, and the exponents need to match.

Poll

My level of understanding

(left to right, NO: I don't get it at all, Whoops: , Nailed It: .

• Sorry, I don't understand anything

• need some help but I'm starting to know

• Ok I know but maybe need to re-check

• I can do this on my own

Multiply Properties

• Product of Powers

• Power of a Power

• Power of a Product

Product of Powers

Words: when multiplying like bases, add the exponents

Symbols: (x^a)(x^b) = x^a+b

Numbers: (8³)(8⁶) = 8⁹

Power of a Power

Words: when a power (base with exponent) is raised to another power (exponent), you multiply the exponents (keep the base!)

Symbols: (x^a)^b= x^ab

Numbers: (8³)⁶=8¹⁸

Power of a Product

Poll

My level of understanding

(left to right, NO: I don't get it at all, Whoops: , Nailed It: .

• Sorry, I don't understand anything

• need some help but I'm starting to know

• Ok I know but maybe need to re-check

• I can do this on my own

Multiple Choice

(2m³)(3m⁴) =

• 5m⁷

• 6m¹²

• 5m¹²

• 6m⁷

Division Properties

• Quotient of Powers

• Power of a Quotient

• Zero Exponent

Quotient of Powers

Power of a Quotient

Zero Exponent

Poll

My level of understanding

(left to right, NO: I don't get it at all, Whoops: , Nailed It: .

• Sorry, I don't understand anything

• need some help but I'm starting to know

• Ok I know but maybe need to re-check

• I can do this on my own

Multiple Choice

Simplify:

$$\frac{5^7}{5^4}$$  

• $$5^{11}$$  

• $$1^3$$  

• $$5^3$$  

Word Cloud

please give me 1 or 2 words about EXPONENT