Exponents Worksheet

There are seven sets of exponents worksheets:

• Squares & cubes
  
• Squares & square roots
  
• Cubes & cube roots
  
• Whole number exponents
  
• Negative whole number exponents
  
• Unit fraction exponents (positive or negative)
  
• Fractional exponents (positive or negative)

Examples, solutions, videos, and worksheets to help Grade 6 students learn how to evaluate numbers with whole number 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.

The set of whole numbers consists of 0,1,2,3 and so on. It does not include negative numbers, fractions or decimals.

How to evaluate numbers with whole number exponents?

There are four sets of whole number exponent worksheets:

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

Exponents are a shorthand way of writing repeated multiplication. For example, instead of writing 4 × 4 × 4, we can write 4³. An exponent is a small number written above and to the right of a base number. The exponent tells you how many times the base number should be multiplied by itself.

Here are some examples of whole number exponents:

3² = 3 × 3 = 9 4³ = 4 × 4 × 4 = 64 2⁴ = 2 × 2 × 2 × 2 = 16

Any non-zero number raised to the power of zero is equal to 1.
For example:
32⁰ = 1
(-4)⁰ = 1
0.64⁰ = 1

If the base is positive then the result is positive.
If the base is negative then the result is positive if the exponent is even and the result is negative if the exponent is odd.

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

• What is an Exponent?

The parenthesis is very important for exponents with negative bases. For example
(-5)² is not equal to -5²
(-5)² = (-5) × (-5) = 25
-5² = -(5 × 5) = -25

• Exponents with Negative Bases

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

 

More Whole Number Exponents Worksheets

Printable
(Answers on the second page.)
Whole Number Exponents Worksheet #1 (Positive Whole Number Bases)
Whole Number Exponents Worksheet #2 (Negative Whole Number Bases)
Whole Number Exponents Worksheet #3 (Positive or Negative Fractional Bases)
Whole Number Exponents Worksheet #4 (Positive or Negative Decimal Bases)

Generated
Whole Number Exponents with bases 1 to 10
Whole Number Exponents with bases 1 to 20

Related Lessons & Worksheets

Exponents

More Printable Worksheets

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