To condense the expression [tex]\(-7 \times -7 \times -7 \times -7\)[/tex] and compute it, follow these steps:
### Step 1: Recognize the repeated multiplication
The expression consists of the number [tex]\(-7\)[/tex] multiplied by itself four times.
### Step 2: Write the condensed form using exponentiation
When a number is multiplied by itself multiple times, you can use an exponent to express this. Specifically, if a number [tex]\(a\)[/tex] is multiplied by itself [tex]\(b\)[/tex] times, it can be written as [tex]\(a^b\)[/tex].
Here, [tex]\(-7\)[/tex] is multiplied by itself 4 times. Thus, the condensed form is:
[tex]\[
(-7)^4
\][/tex]
### Step 3: Compute the value of the condensed form
Now we calculate the value of [tex]\((-7)^4\)[/tex]:
[tex]\[
(-7)^4 = 2401
\][/tex]
So, the condensed form is:
[tex]\[
(-7)^4
\][/tex]
And the computed value is:
[tex]\[
2401
\][/tex]
### Final Answer
Condensed form: [tex]\((-7)^4\)[/tex]
Computed value: [tex]\(2401\)[/tex]
These steps show how the expression [tex]\(-7 \times -7 \times -7 \times -7\)[/tex] can be condensed and then calculated.
