Let's solve the given problem step-by-step:
1. Write [tex]\( (64)² \)[/tex] without using exponents. This means we need to express the square of 64 as multiplication:
[tex]\[ (64)² = 64 \times 64 \][/tex]
2. Multiply the two numbers together:
[tex]\[ 64 \times 64 = 4096 \][/tex]
So, the final result is:
[tex]\[ (64)² = 4096 \][/tex]
Therefore, filling in the blank, we get:
[tex]\[ (64)² = 4096 \][/tex]