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Name that Property
Quotient of Powers and Power of a Quotient
Product of Powers and Power of a Product
Dividing
100
a^0=1
What is The Zero Exponent Property?
100
(a^m)/(a^n) = ?
a^(m-n)
100
(a^2)(a^5) = ?
a^7
100
(a^m)^n = ?
a^mn
200
(ab)^m = (a^m)(b^m)
What is The Power of a Product Property?
200
(y^6)/(y^3)
y^3
200
(a^2)(a^2) = ?
a^4
200

x^6/ x^3

x^3

300
(a/b)^m = (a^m)/(b^m)
What is the Power of a Quotient Property?
300
(x^10)/(x^3) = ?
x^7
300

a^12/ A^6

(a^6)

300

b^7 x b^7

b^14

400
(a^m)(a^n) = a^(m+n)
What is the Product of Powers Property?
400
(x^24)/(x^23) = ?
x
400
((x^7)(y^4))^7
(x^49)(y^28)
400
(y^3)^11
y^33
500
(a^m)^n = a^(mn)
What is the Power of a Power Property?
500

(x^9)/(x^4)

 (x^5)

500
(a^6)(b^4) = ?
(a^6)(b^4) - this cannot be simplified because a and b are different.
500

(b^9)^10

b^90