Definitions
Algebraic Expressions
Numerical Expressions
All Rules Apply
I Love Exponents
Final Jeopardy
100
If the bases are the same you subtract the exponents.
The Quotient Property
100
2r^2*3r^-1
6r
100
2^3*2^2
32
100
8/(x^-3)
8x^3
100
9^(1/2)
3 and -3
100
(64xy^4z^0)/(4x^5y^-1v^0)
(16y^5)/(x^4)
200
If the bases are the same you add the exponents.
The Product Property
200
2a*ab^-2
(2a^2)/b^2
200
3^8*3^2*3^-6
81
200
((5x)/(y^3))^0
1
200
49^(1/2)
7 and -7
300
Multiply the inside exponent by the outside exponent.
The Power to Power property
300
(a*4a^2)^3
64a^9
300
(2^2*2^-2)^2
1
300
-2^-4
-(1)/16
300
(b3)-9
1/b27
400
1 Divided by a number with a positive exponent.
The Negative Exponent property
400
(18x^4)/(3x^2)
6x^2
400
(4^6 )/(4^4)
16
400
f^3/f^7
1/f^4
400
8^(2/3)
4
500
The denominator becomes the root of the radical and the numerator becomes the power.
A fractional (rational) exponent
500
(x^0x^4)/((x^-4)^2)
x^12
500
(4*2^-2) /2
1/2
500
(3c)^-3
1/(27c^3)
500
125^(1/3)
5