Properties of Exponents

7 + (a + b) = (7 + a) + b

• commutative property

• associative property

• distributive property

• identity property

Tags

CCSS.1.OA.B.3

-2( x-y) = -2x + 2y

• commutative property

• associative property

• distributive property

• identity property

Tags

CCSS.6.EE.A.3

(2 + 1) + 9 = (1 + 2) + 9 

• communitative property

• associative property

• distributive property

• identity property 

Tags

CCSS.1.OA.B.3

 $4^{0\ }$  = 1

• Negative Exponent Property 

• Zero Exponenent Property 

• Power to the Power Property 

• Product of Powers

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

What two properties are used to solve this equation?  $4^{3\ }\ \div\ 4^{5\ }\ =\ 4^{-2\ }=\ \frac{1}{4^2}\ =\ \frac{1}{\ 16\ }$  

• quotient of powers property and zero exponent property 

• quotient of powers property and negative exponent property 

• powers of subtraction property 

• only the quotient of powers property

Tags

CCSS.8.EE.A.1

 $a^{m\ }+\ a^{n\ }=\ a^{m\ +\ n\ \ }$  

• Power of a Power Property 

• Power of Product Property 

• Product or Powers Property 

• Quotient of Powers Property 

Tags

CCSS.8.EE.A.1

 $\left(a^m\right)\ ^{n\ }=\ a^{mn}$  

• Power of Power Property

• Power of Products Property 

• Product of Property 

• Quotient of Powers Property 

Tags

CCSS.HSA.APR.A.1

Simplify $2^3\ \circ\ 5^3\$  

•  $10^9$  

•  $10^6$  

•  $6\ \circ\ 15$  

•  $(2\ \circ\ 5)^{3\ }=\ 10^{3\ }$  

Tags

CCSS.6.EE.A.1

CCSS.6.EE.A.3

 $\frac{a^{11}}{a^6}$  

Simplify

•  $a^5$  

•  $a^{17}$  

•  $\left(11\ \circ\ 6\ \right)^a$  

Tags

CCSS.HSA.APR.A.1

 $Are\ \left(4^{3\ }\right)^2\ and\ 4^3\ \circ\ 4^2\ \ equalivalent?\$  

• Yes

• No

Tags

CCSS.6.EE.A.1