$3 * 8=$

Full solution

3 * 8=

Understand the problem: Understand the problem. $\newline$ We need to calculate $3$ raised to the power of $8$ , which means multiplying $3$ by itself $7$ more times.
Start with the base: Start with the base number. $\newline$ The base number is $3$ .
Multiply by the base: Multiply the base number by itself. $3 \times 3 = 9$ (This is $3$ squared or $3$ to the power of $2$ ).
Continue multiplying: Continue multiplying by the base number. $9$ (from the previous step) $\times 3 = 27$ (This is $3$ to the power of $3$ ).
Keep multiplying: Keep multiplying by the base number. $27 \times 3 = 81$ (This is $3$ to the power of $4$ ).
Continue the process: Continue the process. $\newline$ $81 \times 3 = 243$ (This is $3$ to the power of $5$ ).
Multiply again: Multiply again by the base number. $243 \times 3 = 729$ (This is $3$ to the power of $6$ ).
Multiply by the base: Multiply by the base number again. $729 \times 3 = 2187$ (This is $3$ to the power of $7$ ).
Multiply one last time: Multiply one last time to achieve the $8^{\text{th}}$ power. $2187 \times 3 = 6561$ (This is $3$ to the power of $8$ ).