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How to Multiply Numbers with Exponents: Examples and Explanation

The Organic Chemistry TutorDecember 28, 20251 min6,367 views
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Understanding Exponents

  • πŸ’‘ An exponent indicates how many times a base number is multiplied by itself.
  • For example, 4^2 means 4 multiplied by itself twice (4 * 4).
  • Similarly, 2^3 means 2 multiplied by itself three times (2 * 2 * 2).

Example 1: 4^2 * 2^3

  • 🎯 First, calculate the value of each exponent term.
  • 4^2 = 4 * 4 = 16.
  • 2^3 = 2 * 2 * 2 = 8.
  • ⚑ Then, multiply the results: 16 * 8 = 128.
  • Therefore, 4^2 * 2^3 equals 128.

Example 2: 5^3 * 3^2

  • πŸ”‘ Calculate the value of 5^3: 5 * 5 * 5 = 125.
  • πŸ”‘ Calculate the value of 3^2: 3 * 3 = 9.
  • πŸ“ˆ Multiply the results: 125 * 9.
  • Performing the multiplication: 125 * 9 = 1125.
  • Thus, 5^3 * 3^2 equals 1125.
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ExponentsMultiplicationBase NumberMathematical OperationsAlgebraic ExpressionsNumerical Calculation
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