(-3)*(-3)*(-3)*...6 Times

less than a minute read Jun 16, 2024
(-3)*(-3)*(-3)*...6 Times

Understanding Repeated Multiplication: (-3) * (-3) * (-3) * ... 6 times

This problem involves repeated multiplication, a concept often represented using exponents. Let's break it down:

Understanding the problem:

We're asked to multiply -3 by itself six times. This can be written as:

(-3) * (-3) * (-3) * (-3) * (-3) * (-3)

Using Exponents:

A more concise way to write this is using exponents. An exponent indicates how many times a base number is multiplied by itself. In this case:

(-3) ^ 6

Solving the problem:

Remember these rules for multiplying negative numbers:

  • Odd number of negative signs: The result is negative.
  • Even number of negative signs: The result is positive.

Since we have an even number of negative signs (six), our final result will be positive. Now, let's calculate:

(-3) ^ 6 = (-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729

Answer: (-3) * (-3) * (-3) * ... 6 times = 729

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