The Product Rule
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
Simplify:
4p^-3
What is
(4)/(p^3)
Keeping your answer in positive exponents, simplify:
((3x^2)/(-x))^4
What is
81x^4
Simplify:
-3p^(4) * 5p^2
-15p^6
Simplify:
(v^9)/(x^3*v^2)
(v^7)/(x^3)
Keeping your answer in positive exponents, simplify:
(3k^3)^2
What is
9k^6
Keeping your answer in positive exponents, simplify:
-6m^-5
What is
-(6)/m^5
Keeping your answer in positive exponents, simplify:
a^3 * (-4a^3)^3
What is
-64a^12
Simplify:
5x^(2)(y^3) * 2x^(3)(y) * (4x)^2(z^5)
160x^7y^4z^5
Simplify:
(-8mn^4)/(2m^2n)
(-4n^3)/(m)
Keeping your answer in positive exponents, simplify:
(-2n^2)^3
What is
-8n^6
Keeping your answer in positive exponents, simplify:
(10*(m^-3))/(5*(m^-6))
What is
2m^3
Keeping your answer in positive exponents, simplify:
((x)/(x^(2)y^(4)))^4
What is
(1)/(x^(4)y^16)
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:
(7x^(2)y^(5))^2
What is
49x^(4)y^(10)
Simplify:
((x^2*y^3*z)/(a^4))^-3
What is
(a^12/(x^6*y^9*z^3)
Keeping your answer in positive exponents, simplify:
3x^(3)y^(4) * (xy^4)^4
What is
3x^(7)y^(20)
Simplify:
3x^(3) * (-2xu)^(4) * 4u
192x^(4)u^(5) or 192u^(5)x^4
Simplify:
(16x^(5)y^(2))/((-2x^(2))^2*y^(2))
What is
4x
Keeping your answer in positive exponents, simplify:
(3x^(2)y^(3))^4
What is
81x^(8)y^(12)
Keeping your answer in positive exponents, simplify:
(4a^2*b^-5)^-3
What is
b^15/(-64*a^6)
Simplify:
((2a^3b)/(3a^(2)b^(4)))^4
What is
(16a^4)/(81b^12)