Product Rule
-4x^3 * 2x^6
-8x^9
(x^4)^5
x^20
x^7/x^3
x^4
4x^-8
4/x^8
What is the base? b4
The 'b'
When multiplying variables, you do this to the exponents.
Add them.
2x^5 * x^7
2x^12
4(y^3)^2
4y^6
(2x^6)/(6x^5)
x/3
(x^-3)/(x^4)
1/(x^7)
Write this exponent in expanded form. g3
(g) (g) (g)
When dividing variables, you do this to the exponents.
Subtract them.
(4f^8)(6f^4)
24f^12
(x^3y^2)^6
x^18y^12
(8x^10)/(4x^3)
2x^7
(3x^-8)(6x^4)
18/(x^4)
(6x^2y^9)/(2xy^3)
3xy6
What does a variable equal if it has an exponent of zero
1
(8r^5)(2r^-7)
16/r^2
(4w^5)^2
16w^10
(w^6u^2)/(w^3u^9)
w^3/(u^7)
(x^-3v^5)^-2
x^6/(v^10)
(40g^7h^3)/(5g^4h^2)
(8g^3h)
What occurs when a variable has a negative exponent?
It moves (usually to the bottom of the fraction).
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2
(8w^3y^7)^0
1
(8x^2m^4x^5)/(2x^4m^8)
(4x^3)/(2m^4)
11a^2 * 3a^-6
33/a^4
(a^0b^7c^4)/(b^5c)
b2 c3
When raising a variable and exponent to another power, you do this with the exponents.
Multiply them