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Chapter 1: Problem 8

Write \(1 / x\) as \(x\) to some power.

Short Answer

Expert verified
The expression \(1 / x\) can be written as \(x^{-1}\).

Step by step solution

01

Express \(1 / x\) as \(x\) to a power

Acknowledging the rules of exponents, a base divided by its own value is equivalent to the base to the power of negative one. Therefore, \(1 / x\) can be expressed as \(x\) to the power of -1 or \(x^{-1}\).

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Most popular questions from this chapter

The human body contains about \(10^{14}\) cells, and the diameter of a typical cell is about \(10 \mu \mathrm{m}\). Like all ordinary matter, cells are made of atoms; a typical atomic diameter is \(0.1 \mathrm{nm}\). The number of atoms in the body is closest to \(\begin{array}{llll}\text { a. } 10^{14} & \text { b. } 10^{20} & \text { c. } 10^{30} . & \text { d. } 10^{40}\end{array}\).

You're shopping for a new computer, and a salesperson claims the microprocessor chip in the model you're looking at contains 10 billion electronic components. The chip measures \(5 \mathrm{mm}\) on a side and uses 32 -nm technology, meaning each component is \(32 \mathrm{nm}\) across. Is the salesperson right?

Explain why measurement standards based on laboratory procedures are preferable to those based on specific objects such as the international prototype kilogram.

How long a piece of wire would you need to form a circular arc subtending an angle of 1.4 rad, if the radius of the are is \(8.1 \mathrm{cm} ?\)

Add \(1.46 \mathrm{m}\) and \(2.3 \mathrm{cm}\).
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