Laws of Exponents Worksheet

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Objective:I can apply the laws of exponents: multiplication rule, division rule and power of power rule.

When multiplying numbers in exponent notation with the same base, we can add the exponents.
When dividing numbers in exponent notation with the same base, we can subtract the exponents.
When a power has an exponent, multiply the exponents.

32 ⋅ 34 = 36
32 ÷ 34 = 3-2
(32)4 = 38

Read this if you need more information on how to simplify expressions using the laws of exponents or rules of exponents.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
Simplify each expression using the laws of exponents.
Example: Enter 3-2 as 3^-2

25÷22 =
22⋅24 =
22⋅25 =
37⋅31 =
38⋅3 =
39÷31 =
(32)3 =
76÷72 =
(72)4 =
76⋅73 =
76÷74 =
1115⋅11 =
1116÷11 =
22÷23 =
22÷26 =
212⋅26 =
r8÷r2 =
s6÷s9 =
27÷4 =
27÷16 =
(8-2)3 =
(82)-3 =
(8-4)-3 =
32÷9 =
32÷27 =
32÷81 =

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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