Question
1. Write the following in exponential form: 1.1 \( x \times x \times x \times x \)
Ask by Colon Dickson. in South Africa
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x \times x \times x \times x = x^4 \)
Solution
1. We start with the expression:
\[
x \times x \times x \times x
\]
2. Notice that multiplication of the same factor four times is equivalent to exponentiation. In general, if a number \( x \) is multiplied by itself \( n \) times, it can be written as:
\[
x \times x \times \ldots \times x = x^n
\]
3. Since there are 4 factors of \( x \), we have:
\[
x \times x \times x \times x = x^4
\]
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Bonus Knowledge
Exponential form is all about simplifying repeated multiplication! So, for \( x \times x \times x \times x \), you can condense that down to \( x^4 \). It's like putting all those x's into a cozy little power house! Now, did you know that exponential notation is not just for math? It shows up in science too, especially in things like measuring populations or understanding how diseases spread. It’s a handy tool that makes big numbers more manageable and easier to work with!