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Mrs. Dewey explained how exponents can be used as a shortcut for writing products of the same factor:
2 2 2 = 23 (We read this as “2 cubed” or “two to the third power.”)
Three is the exponent. Two is the base. The exponent tells us to multiply by 2 three times.
Three is the exponent. Two is the base. The exponent tells us to multiply by 2 three times.
2 2 2 2 = 24 (We read this as “two to the fourth power.”)
2 2 2 2 2 = 25 (We read this as “two to the fifth power.”)
- How would you use this shortcut to write 3 3 3 3?
- Rewrite the following number sentences using exponents:
- 3 3 3 = 27
- 2 2 2 3 5 5 = 600
- 2 3 3 3 7 = 378
- 2 5 5 5 = 250
- 3 3 11 = 99
When multiplying exponents, always calculate the exponent first.
For example,