To isolate \([L]\) from \([L][T]^1\), follow these steps:

You are given the expression \([L][T]^1\), where:
- \([L]\) stands for a dimension of length,
- \([T]^1\) stands for a dimension of time.

To get \([L]\), you need to eliminate the \([T]^1\) term. This can be done by dividing both sides by \([T]^1\):

\[
[L][T]^1 \div [T]^1 = [L]
\]

The \([T]^1\) cancels out, leaving you with just \([L]\). So, mathematically:

\[
[L] = \frac{[L][T]^1}{[T]^1}
\]

Would you like more details or have any other questions?

Here are five related questions for further exploration:
1. How are dimensions of physical quantities represented?
2. What are the base dimensions in the SI system?
3. How do you handle dimensional analysis for velocity?
4. What does the dimension \([T]^{-1}\) represent?
5. How do you isolate dimensions in a formula involving multiple quantities?

**Tip:** Dimensional analysis is a powerful tool for checking the consistency of equations in physics and engineering.

Learn how to isolate the dimension [L] (length) from the expression [L][T]^1 (length and time) through dimensional analysis. This step-by-step explanation covers core concepts in physics and algebra. Suitable for high school students in Grades 10-12.

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