Math Problem Statement

(-5)×(-5)×(-5)×.... 5 times

Solution

The expression given is (5)×(5)×(5)×(-5) \times (-5) \times (-5) \times \dots repeated 5 times.

This can be rewritten as (5)5(-5)^5.

Now, let's calculate (5)5(-5)^5:

(5)5=(5)×(5)×(5)×(5)×(5)(-5)^5 = (-5) \times (-5) \times (-5) \times (-5) \times (-5)

First, calculate (5)×(5)=25(-5) \times (-5) = 25.

Next, multiply the result by (5)(-5):

25×(5)=12525 \times (-5) = -125

Next, multiply the result by (5)(-5):

125×(5)=625-125 \times (-5) = 625

Finally, multiply the result by (5)(-5):

625×(5)=3125625 \times (-5) = -3125

So, (5)5=3125(-5)^5 = -3125.

Final Answer:

(5)×(5)×(5)×(5)×(5)=3125(-5) \times (-5) \times (-5) \times (-5) \times (-5) = -3125

Would you like more details on how to approach problems like this, or do you have any questions?

Here are 5 related questions:

  1. What is the result of (2)4(-2)^4?
  2. How do you calculate (3)6(-3)^6?
  3. What happens if you multiply three negative numbers together?
  4. What is the difference between multiplying an even and an odd number of negative numbers?
  5. How does exponentiation work when dealing with negative bases?

Tip: Remember that multiplying an odd number of negative numbers always results in a negative product.

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Negative numbers

Formulas

Exponentiation of negative bases

Theorems

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Suitable Grade Level

Grades 6-8