What is 4 to the Power of 10?

What is an Exponent?

To solve for 4 to the power of 10, we need to understand the structure. The number 4 is known as the base, and the number 10 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: $4^{10}$,

To solve $4^{10}$, multiply the base (4) by itself 10 times: $4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4$ = 1048576

Therefore, 4 to the power of 10 is 1048576.