Properties of Exponents
Inequalities/ Equations Using Exponents
Negative and Zero Rules
Quick Solve
What Property Does This Apply To?
100
What property's problems look like (a/b)^c or a^c/b^c?
The Power of a Quotient Property
100
5^3 < 7^3 (solve)
125 < 343
100
2^0
1
100
3^3
81
100
500^0=1
Negative Exponent Property
200
What property states that any number to the power of zero equals one?
The Zero Property
200
24 > 8n^4
24 > 12n ---------- 2 > n
200
5^4 (solve the denominator)
1/625
200
3,000,000^0
1
200
4^(20-11)= 4^9= 262,144
Quotient of Powers Property
300
What is the formula for the Power of a Product Property?
a^b*a^c=a^(b+c)
300
4^2+r = 4^2+r
all real numbers
300
1/1728 (What is the base and exponent?)
12^-3
300
10^2
100
300
Solve: a^3/a^2
a^1
400
What formula is stated by the Negative Exponent Property?
a^(-b)= 1/a^b
400
(2*7)^2 < (3*8)^2
196 < 576
400
(97^0)*144
144
400
5^-3
1/125
400
What property has the formula: (a^b)*(a^c)
Product of Powers Property
500
True or False: The Power of a Power Property is (a^b)^c
True
500
1^0= 500,000^0
1=1
500
(3^-2)+(3^-2)
2/9 (1/9+1/9)
500
(-3)^3
-27
500
Solve: (x^3/y^5)^4
x^12/y^20
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