What is 4 to the Power of 7?

Answer: 4 to the Power of 7 is equal to 16384

What is an Exponent?

To solve for 4 to the power of 7, we need to understand the structure. The number 4 is known as the base, and the number 7 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: baseexponent\textbf{base}^{\textbf{exponent}}

Example: 242^4 (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: 474^{7},

To solve 474^{7}, multiply the base (4) by itself 7 times: 4×4×4×4×4×4×44 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 16384

Therefore, 4 to the power of 7 is 16384.

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