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# Finding an Exponent of −1

(KS3, Year 8)

## The Lesson

A number with an exponent of -1 is equal to the reciprocal of the number (1 divided by the number). Imagine we have the number**2**with an exponent of

**-1**. This is equal to

**.**

^{1}⁄_{2}This is a law of exponents.

## How to Find an Exponent of −1

Finding an exponent of −1 is easy.## Question

Use the law of exponents to find the power with an exponent of −1 below.## Step-by-Step:

# 1

Find the number that has an exponent of −1. In our example, the number is

**3**.# 3

## Answer:

We have found an exponent of −1.## Understanding Finding an Exponent of −1

Let us look at the rule for an exponent of −1:-
**2**is a^{ −1}**power**. -
The
**base**of the power is**2**. -
The
**exponent**is**−1**. -
The fraction
is the reciprocal of^{1}⁄_{2}**2**.

## What Is a Reciprocal?

A reciprocal of a number is 1 divided by the number.## Reciprocal of a Fraction

The reciprocal of a fraction just flips the fraction upside down.**Help Us To Improve Mathematics Monster**

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