The equation in the image shows:

$a \cdot a \cdot a = a^{\boxed{\,}}$

You are expected to find the missing exponent. To solve this, observe that multiplying a number by itself multiple times is equivalent to exponentiation.

So, $a \cdot a \cdot a$ is the same as:

$a^3$

Thus, the equation becomes:

$a \cdot a \cdot a = a^3$

The correct exponent that goes in the box is 3.

Do you have any questions or want further details on this?

Related Questions:

1. What is the definition of exponentiation?
2. How does exponentiation simplify repeated multiplication?
3. Can you explain the difference between powers and roots?
4. What happens if the base $a$ is 0 in exponentiation?
5. How does exponentiation apply in solving algebraic equations?

Tip:

Always remember that multiplication of the same number can be quickly written using exponents, which significantly simplifies expressions and equations.