What is 7 to the Power of 8?

What is an Exponent?

To solve for 7 to the power of 8, we need to understand the structure. The number 7 is known as the base, and the number 8 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: $7^{8}$,

To solve $7^{8}$, multiply the base (7) by itself 8 times: $7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7$ = 5764801

Therefore, 7 to the power of 8 is 5764801.