Math Problem Statement

Write 64 as the product of three powers of 2

Solution

To express 64 as the product of three powers of 2, you can break it down as follows:

64=22×22×2264 = 2^2 \times 2^2 \times 2^2

This works because:

22×22×22=22+2+2=26=642^2 \times 2^2 \times 2^2 = 2^{2+2+2} = 2^6 = 64

So, 6464 can be expressed as the product of three 222^2 terms.

Would you like more details or have any questions?

Here are some related questions:

  1. Can 64 be expressed as a product of other powers of 2?
  2. How do you multiply exponents with the same base?
  3. What is the general rule for expressing a number as a product of powers?
  4. Can you express 128 as a product of three powers of 2?
  5. How does expressing numbers as products of powers help in solving equations?

Tip: When multiplying exponents with the same base, you add the exponents together to find the power of the resulting product.

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Multiplication of Powers
Number Theory

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8