Product Rule
x * x6
x7
x2/x
x
(x2)4
x8
t4 * t
t5
The little number in the top write corner to tell you how many times to multiply the bigger number
Exponent
j5 * j10
j15
7y3/14y3
1/2
(x)9
x9
(t6u3)2
t12u6
The big number or letter when using eponents
Base
4x3 * 8x2
32x5
719/713
76
(4y5z7)3
64y15z21
m11n14/5m3n10
m8n4/5
The rule where you multiply the coefficients and add the exponents
The Power Rule
-5x2 * -12xy3
60x3y3
-2j3k2/6jk2
-j2/3
(2x2y4)2
4x4y8
(-9t3u8v2)2
81t6u16v4
The rule where you multiply the exponents, and take the base to the nth power
The Power Rule
-1x5yz * 2x2y * 5y4z3
-10x7y6z4
-64x4y7z/-100x4y3z
16y4/25
(-x4yz6)3
-x12y3z18
(2x-3yz6)5
32x-15y5z30
The rule where you simplify the coefficients and subtract the exponents
The Quotient Rule