What is 9 to the Power of 3?

What is an Exponent?

To solve for 9 to the power of 3, we need to understand the structure. The number 9 is known as the base, and the number 3 is the exponent. Essentially, the base must be multiplied by itself as many times as the exponent indicates. It's like a special code that says, "Do this many times!" Let’s look at this problem in more detail.

Writing in Base-Exponent Form

When we write a number with an exponent, it looks like this: $\textbf{base}^{\textbf{exponent}}$

Example: $2^4$ (Here, 2 is the base, 4 is the exponent)

Calculating the Result

So, using these steps for our specific problem, we first change our word problem into a base-exponent form: $9^{3}$,

To solve $9^{3}$, multiply the base (9) by itself 3 times: $9 \times 9 \times 9$ = 729

Therefore, 9 to the power of 3 is 729.