Q2B. Simplify the expression聽鈭�4rx2... [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: Q2B. (page 402)

Simplify the expression
$(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t)$

Short Answer

Expert verified

The simplified version of $(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t)$ is $24 r^{6} x^{4} t^{4}$ .

Step by step solution

Step 1. State the multiplication rule 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 $(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t)$ , first collect the like terms. That is, write the constant terms together and the variables r,x and t together.

$(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t) = (鈭� 4 脳鈭� 6) (r 脳 r^{5}) (x^{2} 脳 x^{2}) (t^{3} 脳 t) 鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌� 鈥� (1)$

Step 3. Simplify the expression.

Now apply the multiplication rule inequation (1) and simplify further.

$(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t) = (鈭� 4 脳鈭� 6) (r 脳 r^{5}) (x^{2} 脳 x^{2}) (t^{3} 脳 t) 鈥� = 24 (r^{1 + 5}) (x^{2 + 2}) (t^{3 + 1}) = 24 (r^{6}) (x^{4}) (t^{4}) = 24 r^{6} x^{4} t^{4}$

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91影视

Simplify the expression
$(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t)$

Short Answer

Step by step solution

Step 1. State the multiplication rule of indices.

Step 2. Collect the like terms.

Step 3. Simplify the expression.

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91影视

Simplify the expression鈭�4rx2t3鈭�6r5x2t

Short Answer

Step by step solution

Step 1. State the multiplication rule 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

Decision Maths

Logic and Functions

Calculus

Applied Mathematics

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

Simplify the expression
$(鈭� 4 r x^{2} t^{3}) (鈭� 6 r^{5} x^{2} t)$