Contents

- 1 How do you do negative exponents?
- 2 What does a negative exponent mean in scientific notation?
- 3 What does a negative exponent mean when the base is 10?
- 4 What if the exponent is a negative fraction?
- 5 What is 10 to the negative power of 2?
- 6 Which way do you move the decimal if the exponent is negative?
- 7 How do you turn a negative number into scientific notation?
- 8 How do you solve 10 raised to a negative power?
- 9 How do you simplify exponents?
- 10 What if the exponent is 0?
- 11 What does 10 to the 6th mean?
- 12 Why do fractions have negative exponents?
- 13 How do you solve negative fractions?

## How do you do negative exponents?

**Apply** the **Negative Exponent** Rule. **Negative exponents** in the numerator get moved to the denominator and become positive **exponents**. **Negative exponents** in the denominator get moved to the numerator and become positive **exponents**.

## What does a negative exponent mean in scientific notation?

A **negative exponent** shows that the decimal point is shifted that number of places to the left. In **scientific notation**, the digit term indicates the number of significant figures in the number. As another example, 0.00053 = 5.3 x 10^{–}^{4} This number has 2 significant figures. The zeros are only place holders.

## What does a negative exponent mean when the base is 10?

A **negative exponent** just means that the **base** is on the wrong side of the fraction line, so you need to flip the **base** to the other side.

## What if the exponent is a negative fraction?

The **negative exponent** means take the reciprocal, or flip the **fraction**, so, Regarding the **fractional exponent**, **if** the expression were telling you to cube, then the 3 would be in the numerator, but the 3 is in the denominator, so, you are supposed to take the third root, or cubed root.

## What is 10 to the negative power of 2?

Negative powers

Name | Power |
Number |
---|---|---|

tenth | −1 | 0.1 |

hundredth | −2 |
0.01 |

thousandth | −3 | 0.001 |

ten-thousandth (Myriadth) | −4 | 0.000 1 |

## Which way do you move the decimal if the exponent is negative?

When converting from Scientific Notation to a standard or normal notation, use the value **of the exponent** to determine the number **of** places to **move the decimal** point. **Move the decimal** place to the right **if the exponent** is positive and **move the decimal** place to the left **if the exponent is negative**.

## How do you turn a negative number into scientific notation?

**To see an exponent that’s negative, write.**

**00000031 in**

**scientific notation**.- Move the decimal place to the right to create a new number from 1 up to 10. So, N = 3.1.
- Determine the exponent, which is the number of times you moved the decimal.
- Put the number in the correct form for
**scientific notation**.

## How do you solve 10 raised to a negative power?

**Power** of **10**: **Negative Exponent**

- In normal course the value of
**10**^{–}^{n}is found by multiplying the base.**10**‘n’ times in the denominator and putting a 1 in the numerator. - We use a shortcut to
**solve**such problem. We look at the**exponent**and then write a decimal point followed by as many zeros as one less than**exponent**and a 1.

## How do you simplify exponents?

When dividing two terms with the same base, subtract the **exponent** in the denominator from the **exponent** in the numerator: Power of a Power: To raise a power to a power, multiply the **exponents**. The rules of **exponents** provide accurate and efficient shortcuts for **simplifying** variables in exponential notation.

## What if the exponent is 0?

When you have a number or variable raised to a power, the number (or variable) is called the base, while the superscript number is called the **exponent**, or power. The **zero exponent** rule basically says that any base with an **exponent** of **zero** is equal to one. For example: x^ = 1.

## What does 10 to the 6th mean?

**10 to the 6th** power **means** that six 10s will be multiplied together, like this: **10** x **10** x **10** x **10** x **10** x **10**.

## Why do fractions have negative exponents?

A **negative exponent** helps to show that a base is on the denominator side of the **fraction** line. In other words, the **negative exponent** rule tells us that a number with a **negative exponent** should be put to the denominator, and vice versa. For example, when you see x^-3, it actually stands for 1/x^3. Not too bad right?

## How do you solve negative fractions?

– The **negative** of a number can be created by multiplying the number by **negative** one. Placing the **negative** sign before the entire **fraction** (subtracting the **fraction**) is equivalent to adding the same **fraction**, but with a **negative** numerator.