Math Problem Statement

What is the value of 3^7 centimeters?

Solution

The image you uploaded appears to contain a mathematical problem involving exponents. The expression shown is 373^7 centimeters, and it seems that you are required to compute the value of this expression.

Let's solve 373^7:

37=3×3×3×3×3×3×3=21873^7 = 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 = 2187

So, 37=21873^7 = 2187 cm.

Would you like more details on this, or do you have any questions?

Here are 5 related questions you might find interesting:

  1. What is 383^8, and how does it compare to 373^7?
  2. How do exponents behave when the base is negative, like (3)7(-3)^7?
  3. What is the general rule for multiplying two exponents with the same base, such as 37×333^7 \times 3^3?
  4. How does 373^7 change if it is expressed in terms of square meters instead of centimeters?
  5. Can you express 373^7 as a logarithm?

Tip: When dealing with exponents, remember that am×an=am+na^m \times a^n = a^{m+n} and (am)n=am×n(a^m)^n = a^{m \times n}. This can simplify more complex problems.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers of integers

Formulas

a^n = a × a × a ... (n times)
a^m × a^n = a^(m+n)
(a^m)^n = a^(m × n)

Theorems

Exponentiation properties

Suitable Grade Level

Grades 5-7