Q10. Simplify the expression聽5u4v7u4... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 7: Q10. (page 404)

Simplify the expression
$(5 u^{4} v) (7 u^{4} v^{3})$

Short Answer

Expert verified

The simplified version of $(5 u^{4} v) (7 u^{4} v^{3})$ is $35 u^{8} v^{4}$ .

Step by step solution

Step 1. State the multiplication rule of Law of indices.

If the two terms have the same base (in this case x) and are to be multiplied together their indices are added.

In general: $x^{m} 脳 x^{n} = x^{m + n}$

Step 2. Collect the like terms.

In the expression, $(5 u^{4} v) (7 u^{4} v^{3})$ first collect the like terms. That is, multiply the constant terms together and the same variables together.

$(5 u^{4} v) (7 u^{4} v^{3}) = (5 脳 7) (u^{4} 脳 u^{4}) (v 脳 v^{3}) 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� 鈥� (1)$

Step 3. Simplify the expression.

Now apply multiplication rule in(1) and simplify further.

$(5 u^{4} v) (7 u^{4} v^{3}) = (5 脳 7) (u^{4} 脳 u^{4}) (v 脳 v^{3}) = (35) (u^{4 + 4}) (v^{1 + 3}) = 35 (u^{8}) (v^{4}) = 35 u^{8} v^{4}$

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91影视

Simplify the expression
$(5 u^{4} v) (7 u^{4} v^{3})$

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Collect the like terms.

Step 3. Simplify the expression.

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91影视

Simplify the expression5u4v7u4v3

Short Answer

Step by step solution

Step 1. State the multiplication rule of Law of indices.

Step 2. Collect the like terms.

Step 3. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Geometry

Applied Mathematics

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Simplify the expression
$(5 u^{4} v) (7 u^{4} v^{3})$