Find accurate and reliable answers to your questions on IDNLearn.com. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

Use multiplication to expand the expression below. Then compute.

[tex]\[ (-10)^4 \][/tex]

Expanded form: [tex]\[ (-10) \times (-10) \times (-10) \times (-10) \][/tex]

Compute: [tex]\[ (-10)^4 = 10,000 \][/tex]

Answer Attempt 1 out of 2

Press the [tex]$\times$[/tex] button or type the * symbol on your keyboard to represent multiplication.


Sagot :

Let's break down the problem step by step to expand and compute the expression [tex]\((-10)^4\)[/tex].

1. Identify the base and exponent:
- The base of the expression is [tex]\(-10\)[/tex].
- The exponent is 4.

2. Understand what the expression means:
- The expression [tex]\((-10)^4\)[/tex] means that we need to multiply [tex]\(-10\)[/tex] by itself 4 times.

3. Expand the expression:
- [tex]\[ (-10)^4 = (-10) \times (-10) \times (-10) \times (-10) \][/tex]

4. First multiplication:
- [tex]\[ (-10) \times (-10) = 100 \][/tex]
- Multiplying two negative numbers results in a positive number.

5. Second multiplication:
- [tex]\[ 100 \times (-10) = -1000 \][/tex]
- Multiplying a positive number by a negative number results in a negative number.

6. Third multiplication:
- [tex]\[ -1000 \times (-10) = 10000 \][/tex]
- Again, multiplying two negative numbers results in a positive number.

Therefore, the final result is:
[tex]\[ (-10)^4 = 10000 \][/tex]

So, expanding and computing [tex]\((-10)^4\)[/tex] gives us [tex]\(10000\)[/tex].