Problem 1 :
Multiply.
(4x2)(5x3)
Problem 2 :
Multiply.
(-7x)(3y)
Problem 3 :
Multiply.
(3/7)x5 ⋅ (14/9)x2
Problem 4 :
Multiply.
(x3y5)(xy2)
Problem 5 :
Multiply.
(xyz)(x2yz)
Problem 6 :
Multiply.
(a2b2c3)(abc2)
Problem 7 :
Multiply.
(4ab)(3a2b2)(2a3b3)
Problem 8 :
Multiply.
(0.5a3b)(a2c2)(6b2)
Problem 9 :
Multiply.
(-3x3y2)(4xy5)
Problem 10 :
Multiply.
(-2pq3)(5p2q2)(-3q4)
Problem 1 :
Multiply.
(4x2)(5x3)
Solution :
= (4x2)(5x3)
Group factors with like bases together.
= (4 ⋅ 5)(x2 ⋅ x3)
Use the Product of Powers Property.
= 20x2 + 3
= 20x5
Problem 2 :
Multiply.
(-7x)(3y)
Solution :
= -7x ⋅ 3y
= (-7 ⋅ 3)xy
= -21xy
Problem 3 :
Multiply.
(3/7)x5 ⋅ (14/9)x2
Solution :
= (3/7) x5 ⋅ (14/9) x2
Group factors with like bases together.
= (3/7 ⋅ 14/9)(x5 ⋅ x2)
Use the Product of Powers Property.
= (2/3)(x5 + 2)
= (2/3)x7
Problem 4 :
Multiply.
(x3y5)(xy2)
Solution :
= (x3y5)(xy2)
Group factors with like bases together.
= (x3 ⋅ x)(y5 ⋅ y2)
Use the Product of Powers Property.
= (x3 + 1)(y5 + 2)
= (x4)(y7)
= x4y7
Problem 5 :
Multiply.
(xyz)(x2yz)
Solution :
= (xyz)(x2yz)
Group factors with like bases together.
= (x ⋅ x2)(y ⋅ y)(z ⋅ z)
Use the Product of Powers Property.
= (x1 + 2)(y1 + 1)(z1 + 1)
= (x3)(y2)(z2)
= x3y2z2
Problem 6 :
Multiply.
(a2b2c3)(abc2)
Solution :
= (a2b2c3)(abc2)
Group factors with like bases together.
= (a2 ⋅ a)(b2 ⋅ b)(c3 ⋅ c2)
Use the Product of Powers Property.
= (a2 + 1)(b2 + 1)(c3 + 2)
= (a3)(b3)(c5)
= a3b3c5
Problem 7 :
Multiply.
(4ab)(3a2b2)(2a3b3)
Solution :
= (4ab)(3a2b2)(2a3b3)
Group factors with like bases together.
= (4 ⋅ 3 ⋅ 2)(a ⋅ a2 ⋅ a3)(b ⋅ b2 ⋅ b3)
Use the Product of Powers Property.
= (24)(a1 + 2 + 3)(b1 + 2 + 3)
= 24a6b6
Problem 8 :
Multiply.
(0.5a3b)(a2c2)(6b2)
Solution :
= (0.5a3b)(a2c2)(6b2)
Group factors with like bases together.
= (0.5 ⋅ 1 ⋅ 6)(a3 ⋅ a2)(b ⋅ b2)c2
Use the Product of Powers Property.
= 3a3 + 2b1 + 2c2
= 3a5b3c2
Problem 9 :
Multiply.
(-3x3y2)(4xy5)
Solution :
= (-3x3y2)(4xy5)
Group factors with like bases together.
= (-3 ⋅ 4)(x3 ⋅ x)(y2 ⋅ y5)
Use the Product of Powers Property.
= -12x3 + 1y2 + 5
= -12x4y7
Problem 10 :
Multiply.
(-2pq3)(5p2q2)(-3q4)
Solution :
= (-2pq3)(5p2q2)(-3q4)
Group factors with like bases together.
= (-2 ⋅ 5 ⋅ -3)(p ⋅ p2)(q3 ⋅ q2 ⋅ q4)
Use the Product of Powers Property.
= 30p1 + 2q3 + 2 + 4
= 30p3q9
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Apr 29, 24 08:51 AM
Apr 28, 24 10:10 AM
Apr 28, 24 05:42 AM