Q. 99 In the following exercise, simpl... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 1: Q. 99 (page 38)

In the following exercise, simplify each expression.
(a) ${(鈭� 2)}^{6}$
(b)localid="1645766489878" $- 2^{6}$

Short Answer

Expert verified

Part (a) The simplified value is 64.

Part (b) The simplified value is -64.

Step by step solution

Part (a) Step 1. Concept Used.

The result of the multiplication or division of two numbers with the same sign is positive and with different signs, is negative.

Part (a) Step 2. Calculation.

Perform the following operation to simplify the given expression.

Write the expanded form.
Simplify by multiplication.

$\begin{array}{rcl} {(- 2)}^{6} & = & (- 2) (- 2) (- 2) (- 2) (- 2) (- 2) \\ = & 4 (- 2) (- 2) (- 2) (- 2) \\ = & - 8 (- 2) (- 2) (- 2) \\ = & 16 (- 2) (- 2) \\ = & - 32 (- 2) \\ = & 64 \end{array}$

Part (b) Step 1. Concept Used.

The result of the multiplication or division of two numbers with the same sign is positive and with different signs, is negative.

Part (b) Step 2. Calculation.

Perform the following operation to simplify the given expression.

Write the expanded form.
Simplify by multiplication.

$\begin{array}{rcl} 鈭� 2^{6} & = & 鈭� 2 脳 2 脳 2 脳 2 脳 2 脳 2 \\ = & - 4 脳 2 脳 2 脳 2 脳 2 \\ = & - 8 脳 2 脳 2 脳 2 \\ = & - 16 脳 2 脳 2 \\ = & - 32 脳 2 \\ = & - 64 \end{array}$

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91影视

In the following exercise, simplify each expression.
(a) ${(鈭� 2)}^{6}$
(b)localid="1645766489878" $- 2^{6}$

Short Answer

Step by step solution

Part (a) Step 1. Concept Used.

Part (a) Step 2. Calculation.

Part (b) Step 1. Concept Used.

Part (b) Step 2. Calculation.

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91影视

In the following exercise, simplify each expression.(a) 鈭�26(b)localid="1645766489878" -26

Short Answer

Step by step solution

Part (a) Step 1. Concept Used.

Part (a) Step 2. Calculation.

Part (b) Step 1. Concept Used.

Part (b) Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In the following exercise, simplify each expression.
(a) ${(鈭� 2)}^{6}$
(b)localid="1645766489878" $- 2^{6}$