The Product Rule
Keeping your answer in positive exponents, simplify:
y^(3) * 7y^3
7y^6
Simplify:
(x^7)/(x^3)
x^4
Keeping your answer in positive exponents, simplify:
(a^3)^4
What is
a^12
3a^0 =?
What would the value of n be to make the following equation true:
(2x^3z^4)^n = 8x^9z^12
n = 3
The product rule says that when you are multiplying two exponents with the same base, you keep the base and ________ the exponents
Add
Simplify:
(v^9)/(v^3*v^2)
v^4
Keeping your answer in positive exponents, simplify:
(3k)^2
What is
9k^2
7^-2/7^-10 = ?
7^8
Keeping your answer in positive exponents, simplify:
a^3 * (4a^3)^3
What is
64a^12
Keeping your answer in positive exponents, simplify:
5x^(2)y * 2x^(3)y^(3)z * -4y^(2)z^(4)
-40x^(5)y^(6)z^(5)
The quotient rule says that when you are dividing two exponents with the same base, you keep the base and __________ the exponents.
Subtract
The power of a power rule says that when an exponential expression is raised to a power you should _________ the inner and outer exponents
Multiply
3x^0y^2 = ?
3y^2
Keeping your answer in positive exponents, simplify:
(x)/(x^(2)y^(4))^3
What is
(1)/(x^(5)y^12)
Keeping your answer in positive exponents, simplify:
2m^(2) * -4m^(4)s^4
-8m^(6)s^4 or -8s^(4)m^6
Simplify:
(8x^(4)y^(2))/(-8x^(3)y^(3))
What is
-(x)/(y)
Keeping your answer in positive exponents, simplify:
(x^(2)y^(5))^2
What is
x^(4)y^(10)
16a^-3b^-2 = ?
16/(a^3b^2)
Keeping your answer in positive exponents, simplify:
\frac{18x^{-4}y^2z^0}{12x^{-2}y^{-3}z^4}
What is
\frac{3y^5}{2x^2z^4}
Keeping your answer in positive exponents, simplify:
ab^(2)ca^(3)c^(6)b^(8)
a^(4)b^(10)c^(7)
Simplify:
(16 x^(5)y^(2))/(-2x^(2)*y^(2))
What is
-8x^3
Keeping your answer in positive exponents, simplify:
(8x^(3)y^(3))^4
What is
4096x^(12)y^(12)
If x^y = 1/x^3, then y = ?
y = -3
Keeping your answer in positive exponents, simplify:
((2a^3b)/(3a^(2)b^(4)))^4
What is
(16a^4)/(81b^12)