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 74=24017^4 = 2401. The remaining rows in the "Exponent Form" column are:

  • 737^3
  • 727^2
  • 717^1
  • 707^0

Let's fill in the "Simplified Form" for each row:

  1. 73=3437^3 = 343
  2. 72=497^2 = 49
  3. 71=77^1 = 7
  4. 70=17^0 = 1

So, the completed table would look like:

Exponent FormSimplified Form
747^42401
737^3343
727^249
717^17
707^01

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:

  1. How would you express 838^3 in simplified form?
  2. What is the value of 545^4?
  3. How does the exponent affect the value of the base number?
  4. What is the significance of any number raised to the power of 0?
  5. How can you calculate 929^2 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