What is 3 to the Power of 6?

What is an Exponent?

To solve for 3 to the power of 6, we need to understand the structure. The number 3 is known as the base, and the number 6 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: $3^{6}$,

To solve $3^{6}$, multiply the base (3) by itself 6 times: $3 \times 3 \times 3 \times 3 \times 3 \times 3$ = 729

Therefore, 3 to the power of 6 is 729.