Convert between base with exponent and expanded form e.g. 3³ <=> 3 x 3 x 3
Home / 6th grade / Number / Powers & Roots / Convert exponents to expanded form
An exponent is a number raised to a power. 2³ is an exponent as is 4⁴. In 2³, the number 2 is called the base and the ³ is the power.
The expanded form of an exponent is the base multiplied by itself the number of times indicated by it's power.
For example: 3³ (exponent) = 3 x 3 x 3 (expanded form)
To derive the expanded form from the exponent, lay out the base multiplied by itself the number of times indicated by the power. Here are some examples:
8³ (exponent) = 8 x 8 x 8 (expanded form)
11⁴ (exponent) = 11 x 11 x 11 x 11 (expanded form)
21⁵ (exponent) = 21 x 21 x 21 x 21 x 21 (expanded form)
To derive the exponent from the expanded form, take the number being multiplied as the base, and use the number of times it has been multiplied as the power. Here are some examples:
6 x 6 (expanded form) = 6² (exponent)
7 x 7 x 7 (expanded form) = 7³ (exponent)
4 x 4 x 4 x 4 (expanded form) = 4⁴ (exponent)
In this topic you are asked to convert in both directions between exponents and the expanded form of exponents.
Below is a table showing the first 6 question answer pairs for the topic "Convert exponents to expanded form" as used in the lessons for this topic. Our games and tests for the topic use these 6 items plus 10 additional question answer pairs.
The topic "Convert exponents to expanded form" is in the category Number for 6th grade (ages 11 to 12).
Home / 6th grade / Number / Powers & Roots / Convert exponents to expanded form
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