Multiply 2 Groupings
(x^2)^2 * (y^2)
x^4 y^2
(xyz)^0
1
(g^4)^m = g^56
m = 14
What is the expanded form for
(x)^2
x*x
What is the value of
2^4 =
16
(x^2 y^3)^2 * (xy)
x^5 y^7
(a^4)/b^6
a^4 b^-6
(xyz)^m = 1
m = 0
Any value raised to the 1st power is equal to ______?
For example
5^1 =
The original value
Example:
5^1 = 5
What is the value of
2^9
512
(x^2 y^3 z^4)^0 * (x^1 y^2 z^3 )^1
x y^2 z^3
(a^5 * a^1)/(a^2 * a^3 * a^2)
a^-1
or
1/a
(xyz)^m/(xyz)=xyz
m=2
Anything raised to the 0th power is?
1
Why do we cross out a variable equal to one when multiplying?
For example:
2*x^0 = 2
1 times (or multiplied) by anything will be equal to the other value being multiplied.
Example:
67*1*1*1*1*1*1=67
(2x^3)^-1 * (2 x^2)^2
2x
(-18c^8 d^9)/(9 c^3 d^9)
-2c^5
x^m = 1/x^3
m=-3
It means division, and it moves a term to either the top or bottom of a fraction bar depending on where it was before. Example:
x^-1 = 1/x
(1/x)^-1 = x/1
When do we subtract exponents?
When dividing by two terms with the same variable base.
Example:
x^2 / x^1 = x^1
(6a^4 b^-3 )^0 (-4ab^5 )
-4ab^5
((2x y^4)/(14x^2 y^-3))^-2
(49x^2) / y^14
(x^8)^m/(x^4)^-3 = x^28
m=2
When do you add exponents?
When you are multiplying two terms of the same base
Examples:
x^1 * x^1 = x^2
a^2 * a^5 = a^7
What is the Fundamental Theorem of Arithmetic?
Every positive integer can be represented by a UNIQUE prime factorization.
Example:
676767=3^1*7^1*13^1*37^1*67^1