Product Rule
When multiplying variables, you do this to the exponents.
What is add them?
(x^4)^5
x^20
x^7/x^3
x^4
4x^-8
4/x^8
When and for how long are we allowed to use our notes on the test tomorrow?
The last 15 minutes of the test
2x^5 * x^7
2x^12
4(y^3)^2
4y^6
(2x^6)/(6x^5)
x/3
X-3 / X3
(-1200x)0
1
(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)
What has to be the SAME when you are simplifying with product rule?
The base of the monomial
(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)^-8
x^24/(v^40)
How can we make a negative exponent positive?
Flip it over the fraction line
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2
(8w^3y^7)^0
1
(4x^2m^4x^5)/(8x^8m^8)
m^4/2x)
11a^2 * 3a^-6
33/a^4
a0b7c-3/b5c-3
b2