Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.30 (page 507)

Simplify each expression:
$鈸� n^{鈭� 2} 鈸� 10^{鈭� 4} 鈸� \frac{1}{q^{鈭� 7}} 鈸� \frac{1}{2^{鈭� 4}}$

Short Answer

Expert verified

The simplified expression of $n^{鈭� 2} = \frac{1}{n^{2}}$

The simplified expression of $10^{鈭� 4} = \frac{1}{10^{4}}$

The simplified expression of $\frac{1}{q^{鈭� 7}} = q^{7}$

The simplified expression of $\frac{1}{2^{鈭� 4}} = 16$

Step by step solution

Step 1. Given Information

In the given question we have to simplify each expression:

$鈸� n^{鈭� 2} 鈸� 10^{鈭� 4} 鈸� \frac{1}{q^{鈭� 7}} 鈸� \frac{1}{2^{鈭� 4}}$

Part (a) Step 1. The given expression is n−2

Using the definition of a negative exponent, $a^{鈭� n} = \frac{1}{a^{n}}$

$n^{鈭� 2} = \frac{1}{n^{2}}$

Part (b) Step 1. The given expression is 10−4

Using the definition of a negative exponent, $a^{鈭� n} = \frac{1}{a^{n}}$

$10^{鈭� 4} = \frac{1}{10^{4}}$

Part (c) Step 1. The given expression is 1q−7

Using the definition of a negative exponent, $\frac{1}{a^{n}} = a^{鈭� n}$

$\frac{1}{q^{鈭� 7}} = q^{7}$

Part (d) Step 1. The given expression is 12−4

Using the definition of a negative exponent, $\frac{1}{a^{n}} = a^{鈭� n}$

$\frac{1}{2^{鈭� 4}} = 2^{4} \frac{1}{2^{鈭� 4}} = 16$

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91影视

Simplify each expression:
$鈸� n^{鈭� 2} 鈸� 10^{鈭� 4} 鈸� \frac{1}{q^{鈭� 7}} 鈸� \frac{1}{2^{鈭� 4}}$

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. The given expression is n−2

Part (b) Step 1. The given expression is 10−4

Part (c) Step 1. The given expression is 1q−7

Part (d) Step 1. The given expression is 12−4

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91影视

Simplify each expression:鈸�n鈭�2鈸�10鈭�4鈸�1q鈭�7鈸�12鈭�4

Short Answer

Step by step solution

Step 1. Given Information

Part (a) Step 1. The given expression is n−2

Part (b) Step 1. The given expression is 10−4

Part (c) Step 1. The given expression is 1q−7

Part (d) Step 1. The given expression is 12−4

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Decision Maths

Pure Maths

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Simplify each expression:
$鈸� n^{鈭� 2} 鈸� 10^{鈭� 4} 鈸� \frac{1}{q^{鈭� 7}} 鈸� \frac{1}{2^{鈭� 4}}$