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Name that Property
Negative and Zero Exponents
Quotient of Powers and Power of a Quotient
Product of Powers and Power of a Product
Power of a Power
100
a^0=1
What is The Zero Exponent Property?
100
4^0 = ?
1
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
4,783,312,901^0 = ?
1
200
(y^6)/(y^3)
y^3
200
(a^2)(a^2) = ?
a^4
200
(x^3)^6
x^18
300
(a/b)^m = (a^m)/(b^m)
What is the Power of a Quotient Property?
300
((x^5)(y^8))^0
1
300
(x^10)/(x^3) = ?
x^7
300
((a^1)(b^3))^4 = ?
(a^4)(b^12)
300
(b^7)^7
b^49
400
(a^m)(a^n) = a^(m+n)
What is the Product of Powers Property?
400
(x^3)^(-1)
1/(x^3)
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
a^(-5)
1/(a^5)
500
(x^4)/(x^9)
x^(-5) OR 1/(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