# Negative Exponents Worksheet

There are seven sets of exponents worksheets:

Examples, solutions, videos, and worksheets to help Grade 6 students learn how to evaluate numbers with negative exponents. The number, also called the base, can be a positive or negative whole number, a positive or negative fraction, a positive or negative decimal.

### How to evaluate numbers with negative exponents?

There are four sets of negative exponent worksheets:

• Positive Whole Number Base
• Negative Whole Number Base
• Fractional Base (Positive or Negative)
• Decimal Base (Positive or Negative)

When a number is raised to a negative exponent, it means that we take the reciprocal of that number raised to the positive exponent.

Here are some examples:

2-3:
This means taking the reciprocal of 23, which is 1/23. Therefore, 2-3 = 1/(23) = 1/8 = 0.125.

(1/3)-4:
This means taking the reciprocal of (1/3)4, which is 34. Therefore, (1/3)-4 = 34 = 81.

(2/3)-2:
This means taking the reciprocal of (2/3)2, which is (3/2)2. Therefore, (2/3)-2 = (3/2)2 = 9/4.

0.2-2:
This means taking the reciprocal of 0.22, which is 1/0.22. Therefore, 0.2-2 = 1/(0.22) = 1/0.04 = 25.

We can also change the decimals to fractions before evaluating.
0.2-2 = (2/10)-2 = (10/2)2 = 100/4 = 25

So, when dealing with negative exponents, you can think of it as taking the reciprocal of the positive exponent.

Have a look at this video if you need to review how to evaluate negative exponents.

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Negative Exponents Worksheets.

### More Negative Exponents Worksheets

Printable
Negative Exponents Worksheet #1 (Positive Whole Number Bases)
Negative Exponents Worksheet #2 (Negative Whole Number Bases)
Negative Exponents Worksheet #3 (Positive or Negative Fractional Bases)
Negative Exponents Worksheet #4 (Positive or Negative Decimal Bases)

More Printable Worksheets

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