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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 494 (page 564)

$4^{- 1}$

Short Answer

Expert verified

The simplified form of the given expression is $\frac{1}{4}$ or 0.25.

Step by step solution

01

Step 1. Given information.

The given expression is:

$4^{- 1}$

02

Step 2. Simplify the given expression.

According to the property of exponents:

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

Using the above property, the given expression can be written as:

$\begin{array}{rcl} 4^{- 1} & = & \frac{1}{4} \\ = & 0.25 \end{array}$

03

Step 3. Conclusion.

The simplified form of the given expression is $\frac{1}{4}$ or 0.25.

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Most popular questions from this chapter

In the following exercises, multiply the binomials. Use any method.

$(6 p + 5) (p + 1)$

$Add: (a) 3 m^{2} + n^{2} - 7 m^{2} (b) p q^{2} - 6 p - 5 q^{2} .$

$Subtract (a^{2} + 5 a b - 6 b^{2}) from (a^{2} + b^{2})$

Multiply each pair of conjugates using the product of the conjugates pattern.

$(p + \frac{4}{5} q) (p - \frac{4}{5} q)$

Solve the square using the binomial squares pattern.

${(5 u^{2} + 9)}^{2}$

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