[dividing monomials][section 34]
(1.) x6
____ here is the problem
x
= x5 subtract exponents
result: x5
(2.) 4ab2(-5ab3)
_____________ here is the problem
10a2b2
= -20a2b5
____________ multiply add exponents
10a2b2
= -2b3 divide subtract exponents
result: -2b3
(3.) (-3ab2)2
___________ here is the problem
6ab
= 9a2b4
__________
6ab square -3, multiply exponents
= 3ab3
______ reduce and subtract exponents
2
result:
3ab3
_____
2
(4.) (3ab2)2(-6a3b)
________________ here is the problem
(3a2b2)2
=
(9a2b4)(-6a3b)
____________________ square 3, multiply exponents
(9a4b4)
= -54a5b5
_________ multiply add exponents
9a4b4
= -6ab divide subtract
exponents
result:
-6ab
(5.) (5ab)2(-20a3b)
_________________ here is the problem
4a2b3
(25a2b2)(-20a3b)
_________________ square 5, multiply exponents
4a2b3
= -500a5b3
_____________ multiply add exponents
4a2b3
= -125a3 divide subtract exponents
result: -125a3
(6.) (5a2b)2(-100b3)
____________________ here is the problem
(52b)2
= (25a4b2)(-100b3) square 5, multiply exponents
____________________
625b2 square 5 twice, multiply exponents
= -2500a4b5
______________ multiply add exponents
625b2
= -4a4b3 divide, subtract exponents
result:
-4a4b3
(7.) a3x
______ here is the problem
a2x
= ax subtract exponents
result:
ax
(8.) xu-vyw-z
_____________ here is the problem
x2v-uyw
= x2u-3vy-z subtract exponents
result:
x2u-3vy-z
(9.) ab2c4d2-k
________________ here is the problem
ac3dk
=
b2cd2-2k
subtract exponents
result:
b2cd2-2k
(10.) (y3a-9)6
____________ here is the problem
y2a-4
= y18a-54
____________ multiply exponents
y2a-4
= y16a-58 subtract exponents
result: y16a-58