Math Problem Statement
Complete the table to find the value of a nonzero number raised to the power of 4, 3, 2, 1, and 0.
Solution
The image shows a table with "Exponent Form" on the left and "Simplified Form" on the right. The first row is completed with . The remaining rows in the "Exponent Form" column are:
Let's fill in the "Simplified Form" for each row:
So, the completed table would look like:
Exponent Form | Simplified Form |
---|---|
2401 | |
343 | |
49 | |
7 | |
1 |
Would you like any more details on how these calculations are performed, or do you have any further questions?
Here are five related questions for further exploration:
- How would you express in simplified form?
- What is the value of ?
- How does the exponent affect the value of the base number?
- What is the significance of any number raised to the power of 0?
- How can you calculate using repeated multiplication?
Tip: Remember, any nonzero number raised to the power of 0 is always 1. This is a fundamental rule of exponents.
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Math Problem Analysis
Mathematical Concepts
Exponentiation
Powers of numbers
Formulas
a^n, where a is the base and n is the exponent
Theorems
Any nonzero number raised to the power of 0 is 1.
Suitable Grade Level
Grades 5-7