Math Problem Statement

3^4 x 3^3

Solution

To solve the expression 34×333^4 \times 3^3, follow these steps:

  1. Apply the property of exponents: When multiplying powers with the same base, you add the exponents: 34×33=34+3=373^4 \times 3^3 = 3^{4+3} = 3^7

  2. Calculate the result: 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, 34×33=21873^4 \times 3^3 = 2187.

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

  1. What is 26×242^6 \times 2^4?
  2. Simplify 52×535^2 \times 5^3.
  3. How would you simplify the expression a5×a2a^5 \times a^2 for any base aa?
  4. What is 34×323^4 \times 3^{-2}?
  5. How does the product rule for exponents apply to (x2×x3)4(x^2 \times x^3)^4?

Tip: Remember, when multiplying powers with the same base, just add the exponents.

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Math Problem Analysis

Mathematical Concepts

Exponents
Multiplication of Powers

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9