Question

amal is a baker who makes croissants, a type of french pastry. amal makes a large rectangle of dough and folds it in thirds, then repeats the process. every time the dough is folded, the number of layers is multiplied by 3. how many layers will there be if the dough is folded 10 times?

Explanation:

Step1: Identify the pattern

The number of layers starts at 1 and is multiplied by 3 each time the dough is folded. The formula for the number of layers $L$ after $n$ folds is $L = 1\times3^n$.

Step2: Substitute the number of folds

We are given that the dough is folded 10 times, so $n = 10$. Substitute $n = 10$ into the formula: $L=3^{10}$.

Step3: Calculate the result

$3^{10}=3\times3\times3\times3\times3\times3\times3\times3\times3\times3 = 59049$.

Answer:

59049