The number of circles at Stage 10 is extremely large.

Question

Stage
10
Number of circles (Kiran)
1024
Number of circles (jada)
2*2*2*2*2*2*2*2*2*2
Number of circles (Noah)
2¹⁰

Write an expression to represent this number.

Answer 1

To express the number of circles at Stage 10 for Kiran, Jada, and Noah, we can rewrite each representation mathematically.

1. Kiran's representation:

   • The number of circles is given as 1024. This can be represented as \( 2^{10} \) since \( 2^{10} = 1024 \).

2. Jada's representation:

   • The number of circles is given as \( 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \), which is the multiplication of 2, 10 times. This can also be expressed as \( 2^{10} \).

3. Noah's representation:

   • The number of circles is \( 2^{10} \).

So, the expression for the number of circles at Stage 10 for all three (Kiran, Jada, and Noah) can be represented as:

\[ 2^{10} \]

Thus, for all participants, the expression for the number of circles at Stage 10 is \( 2^{10} \).