b. The area of another sheet of paper is 200 square inches. Write an equation that gives the area, $$ B $$, of this sheet of paper, in square inches, after being folded into thirds $$ n $$ times.

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To find the area $$ B $$ of a sheet of paper after being folded into thirds $$ n $$ times, we need to understand how folding affects the area.

1. **Initial Area**: The initial area of the sheet of paper is given as 200 square inches.

2. **Folding into Thirds**: When you fold a sheet of paper into thirds, the area is divided by 3. Therefore, each time you fold the paper into thirds, the area becomes one-third of the previous area.

3. **Equation Development**:
   - After the first fold, the area becomes $$ \frac{200}{3} $$.
   - After the second fold, the area becomes $$ \frac{200}{3^2} $$.
   - After the third fold, the area becomes $$ \frac{200}{3^3} $$.
   - Continuing this pattern, after $$ n $$ folds, the area $$ B $$ can be expressed as:

$$
B = \frac{200}{3^n}
$$

Thus, the equation that gives the area $$ B $$ of the sheet of paper after being folded into thirds $$ n $$ times is:

$$
B = \frac{200}{3^n}
$$
The area $$ B $$ after folding the paper $$ n $$ times is $$ B = \frac{200}{3^n} $$.

b. The area of another sheet of paper is 200 square inches. Write an equation that gives the area, \( B \), of this sheet of paper, in square inches, after being folded into thirds \( n \) times.

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