Chapter 5: Q. 5.30 (page 507)

Simplify each expression:
$ⓐ n^{- 2} ⓑ 10^{- 4} ⓒ \frac{1}{q^{- 7}} ⓓ \frac{1}{2^{- 4}}$

Short Answer

Expert verified

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

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

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

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

Step by step solution

Step 1. Given Information

In the given question we have to simplify each expression:

$ⓐ n^{- 2} ⓑ 10^{- 4} ⓒ \frac{1}{q^{- 7}} ⓓ \frac{1}{2^{- 4}}$

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

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

$n^{- 2} = \frac{1}{n^{2}}$

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

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

$10^{- 4} = \frac{1}{10^{4}}$

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

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

$\frac{1}{q^{- 7}} = q^{7}$

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

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

$\frac{1}{2^{- 4}} = 2^{4} \frac{1}{2^{- 4}} = 16$

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Simplify each expression:
$ⓐ n^{- 2} ⓑ 10^{- 4} ⓒ \frac{1}{q^{- 7}} ⓓ \frac{1}{2^{- 4}}$

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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Simplify each expression:ⓐn−2ⓑ10−4ⓒ1q−7ⓓ12−4

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

Calculus

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Study anywhere. Anytime. Across all devices.

Simplify each expression:
$ⓐ n^{- 2} ⓑ 10^{- 4} ⓒ \frac{1}{q^{- 7}} ⓓ \frac{1}{2^{- 4}}$