Vocabulary
This property has you keep the base and subtract the exponents
Division/Quotient Property
2^-1 = 1/2
Negative Exponent Property
Simplify.
5^2 * 5^10
5^12
Simplify.
2^15/2^8
2^7
(12^8 a ^2)^3
12^24 a ^ 6
This property has you keep the base and multiply the exponents
Power to a Power Property
x^5/x^3 = x ^(5-3)
Division/Quotient Property
Simplify.
(a^4)^3
a^12
Simplify
(x^6*x^3)/x^4
x^5
b^-6
1/b^6
This property has you take the reciprocal of the negative power
Negative Exponents Property
(5 * 3)^0 = 1
Zero Exponent Property
Simplify.
a^7 * a^14
a^21
Simplify
(a^7b)/a^5
a^2b
(x/b)^0
1
This property has you keep the same base and add the exponents
Multiplication/Product Property
(4^2)^3 = 4^6
Power to a Power Property
Simplify
(m^6n^2)^3
m ^18 n ^ 6
Simplify
y^-4*y^12/y^2
y^6
(r^2)/(r^4)
1/ (r^2)
This property states that any term to the power of zero is equal to 1
Zero Power Property
1/(3)^5 = 3 ^-5
Negative Exponent Property
Simplify
(x * y^2)^5 * x^3
x^8 * y^10
Simplify
(x^10y^8z^2)/(x^3y^4z)
x^7y^4z
(a^2 * b^3)^2
a^4 *b^6