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