Product Rule
x^3 * x^6
x^9
(x^4)^5
x^20
x^7/x^3
x^4
Any number to the zero power is? (Given that the base is not 0)
1
What number is the base of
2^4
What is the slope of the line y=2x+1
2
2x^5 * x^7
2x^12
4(y^3)^2
4y^6
(2x^6)/(x^5)
2x
x^-9
1/(x^9)
Which number is the denominator?
2/3
3
3 cookies cost $12, how much does one cookie cost?
$4
(8r^5)(2r^-7)
16/r^2
(4w^5)^2
16w^10
u^2/u^9
1/(u^7)
(v^5)^-8
1/(v^40)
Which rule says when dividing exponential expression with the same base, subtract the exponents?
Quotient Rule
(-2)^3
a. 8
b. -8
c.
(1)/(8)
d.
(-1)/(8)
b. -8
(4f^8)(6f^4)
24f^12
(xy)^6
x^6y^6
(8x^10)/(4x^3)
2x^7
((x^2y^(-3))/(z^-5w^6))^0
1
Which rule says when an exponential expression is raised to a power, multiply the exponent by the power?
Power of a Power Rule
What are all the factors of 12?
1, 2, 3, 4, 6, 12
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2
((6x^2)/(2x))^2
9x^2
(4m^4)/(8m^8)
1/(2m^4)
(3x^-8)(6x^4)
18/(x^4)
Which rule says when we multiply exponential expressions with the same base, add the exponents?
Product Rule
Distribute:
x(2x+7)
2x^2+7x