x(-5)x(-5)x...-5-times.jpeg "(-5)x(-5)x(-5)x... 5 Times")
The Power of Negative 5
When we multiply a number by itself repeatedly, we are raising it to a power. In this case, we're going to explore the result of multiplying -5 by itself 5 times.
The Calculation
Let's do the calculation step by step:
(-5) × (-5) = 25 (first power) 25 × (-5) = -125 (second power) -125 × (-5) = 625 (third power) 625 × (-5) = -3125 (fourth power) -3125 × (-5) = 15625 (fifth power)
The Result
After multiplying -5 by itself 5 times, we get:
15625
This result may seem surprising at first, but it makes sense when we think about the properties of negative numbers and exponentiation.
Negative Numbers and Exponentiation
When we multiply a negative number by itself an even number of times, the result is always positive. This is because the negative signs cancel each other out. In our case, we've multiplied -5 by itself an odd number of times (5), so the result is also negative. However, the absolute value of the result increases dramatically with each multiplication.
Conclusion
The power of negative 5 multiplied by itself 5 times is 15625. This calculation illustrates the rules of exponentiation and the properties of negative numbers. It's a fascinating example of how these mathematical concepts work together to produce a striking result.
