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
1
Keeping your answer in positive exponents, simplify:
((3x^2)/(-x))^4
What is
81x^4
Keeping your answer in positive exponents, simplify:
-3p^(4) * 5p^2
-15p^6
Simplify:
(v^9)/(v^3*v^2)
v^4
Keeping your answer in positive exponents, simplify:
(3k^3)^2
What is
9k^6
x^2/x^0
x^2
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) * 2x^(3) * (-4x)^2
160x^7
Simplify:
(-8mn^4)/(2mn)
(-4n^3)
Keeping your answer in positive exponents, simplify:
(-2n^2)^3
What is
-8n^6
3x^0y^2
3y^2
Keeping your answer in positive exponents, simplify:
((-x)/(-x^(2)y^(4)))^4
What is
(1)/(x^(4)y^16)
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)
16^0(4+x^0)
5
Keeping your answer in positive exponents, simplify:
3x^(3)y^(4) * (xy^4)^4
What is
3x^(7)y^(20)
Keeping your answer in positive exponents, simplify:
3x^(3) * (-2xu)^(4) * 4u
192x^(7)u^(5) or 192u^(5)x^7
Simplify:
(16 x^(5)y^(2))/((-2x^(2))^2*y^(2))
What is
4x
Keeping your answer in positive exponents, simplify:
(8x^(3)y^(3))^4
What is
4096x^(12)y^(12)
(3a(b - 2c)^0)/(9a^0)
a/3
Keeping your answer in positive exponents, simplify:
((2a^3b)/(3a^(2)b^(4)))^4
What is
(16a^4)/(81b^12)