Math Problem Statement

What is the value of 7 raised to the power of 3 (7^3)?

Solution

The image shows the number 737^3, which represents 7 raised to the power of 3 (i.e., 737^3).

To solve 737^3:

73=7×7×7=3437^3 = 7 \times 7 \times 7 = 343

Thus, 73=3437^3 = 343.

Would you like further details or have any questions?

Here are 5 related questions to explore this concept further:

  1. What is the value of 747^4?
  2. How do exponents work when raising a number to a higher power?
  3. What happens when you raise a fraction to a power, such as (12)3\left(\frac{1}{2}\right)^3?
  4. How can you simplify expressions involving different bases and powers, like 73×527^3 \times 5^2?
  5. What is the general rule for multiplying powers with the same base?

Tip: When dealing with exponents, always remember that multiplying the base repeatedly by itself as many times as the exponent specifies is key to simplifying powers.

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Math Problem Analysis

Mathematical Concepts

Exponents
Powers

Formulas

a^n = a * a * ... (n times)
7^3 = 7 * 7 * 7

Theorems

Exponentiation theorem

Suitable Grade Level

Grades 5-7