Product Rule
x^3 * x^6
x^9
(x^4)^5
x^20
x^7/x^3
x^4
x-5
1/(x^5)
Define the Zero Exponent Rule
Any value (known or unknown) to the power of zero is 1
(x1/3)3
x
2x^5 * x^7
2x^12
(xy)^6
x^6y^6
(2x^6)/(x^5)
2x
4x^-9
4/(x^9)
Definition of "coefficient"
number that is being multiplied by a variable
Example: in 5x, 5 is the coefficient
(3x2)(x-2)
3
(4f^8)(6f^4)
24f^12
(4w^5)^2
16w^10
(8x^10)/(4x^3)
2x^7
(5y^3)/(x^-2)
5x2y3
Definition of "exponent"
The number that tells you how many times to multiply a base value by itself
(12x^7)/(4x^5)
3x2
(n3)-2・2n3
2/(n^3)
4(y^3)^2
4y^6
u^2/u^9
1/(u^7)
(3x^-8)(6x^4)
18/(x^4)
definition of "product"
the answer to a multiplication problem
(9x^0y^-6)/(z^-2)
9z^2/(y^6)
(8r^5)(2r^-7)
16/r^2
(8w^3y^7)^0
1
(m)/(m^8)
1/(m^7)
(v^5)^-8
1/(v^40)
Definition of "base":
the number directly before an exponent that is being multiplied by itself
((4xy^-3z)/(2xy))^3
(8z^3)/(y^12)
(7s^5p^5)(3s^6p^-5)
21s11
(k3)2 ・ (2k4)2
4k14
(2x^3)/(3x^-2)
(2x^5)/(3)
11a^2 * 3a^-6
33/a^4
Define the "Product Rule"
a process where you add the exponents when two numbers with the same base are being multiplied together
((5a^-2b^-2)/(2abc))^-1
2c/5ab