Q49. Evaluate the expression a2bc鈭抌... [FREE SOLUTION]

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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 1: Q49. (page 13)

Evaluate the expression $a^{2} b c 鈭� b^{2}$ if $a = 8, 鈥夆赌� b = 4, c = 16$ .

Short Answer

Expert verified

The value of the expression $a^{2} b c 鈭� b^{2}$ is 4080.

Step by step solution

Step 1. Apply the BODMAS rule.

According to the BODMAS rule of simplification, at first, the bracket operation must be completed followed division, by multiplication, addition, and finally subtraction.

Step 2. Example of applying BODMAS rule.

The expression where can be written as

$\begin{array}{l} 5 b 鈭� 2 a c = 5 (4) 鈭� 2 (3) 脳 1 \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = (5 脳 4) 鈭� (2 脳 3) 脳 1 \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = 20 鈭� (6 脳 1) \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = 20 鈭� 6 \\ 鈥夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌夆€夆赌� = 14 \end{array}$

Step 3. DESCRIPTION OF STEP.

Substituting $a = 8, b = 4 andc = 16$ in $a^{2} b c 鈭� b^{2}$

$\begin{array}{l} a^{2} b c 鈭� b^{2} = 8^{2} 鈰� 4 鈰� 16 鈭� 4^{2} \\ Evaluatethepowers 8^{2} & 4^{2} \\ a^{2} b c 鈭� b^{2} = 64 鈰� 4 鈰� 16 鈭� 16 \\ Multiply64,4&16 \\ a^{2} b c 鈭� b^{2} = 4096 鈭� 16 \\ Subtract16from4096 \\ a^{2} b c 鈭� b^{2} = 4080 \end{array}$

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91影视

Evaluate the expression $a^{2} b c 鈭� b^{2}$ if $a = 8, 鈥夆赌� b = 4, c = 16$ .

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

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91影视

Evaluate the expression a2bc鈭�b2if a=8,鈥夆赌�b=4,c=16.

Short Answer

Step by step solution

Step 1. Apply the BODMAS rule.

Step 2. Example of applying BODMAS rule.

Step 3. DESCRIPTION OF STEP.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Mechanics Maths

Applied Mathematics

Logic and Functions

Calculus

Study anywhere. Anytime. Across all devices.

Evaluate the expression $a^{2} b c 鈭� b^{2}$ if $a = 8, 鈥夆赌� b = 4, c = 16$ .