# Kyra's school earned 4^6 dollar from the annual fundraiser. How m did the school earn?

Mar 2, 2018

$4096 #### Explanation: Kyra's school earned $4096 from the fundraiser.

To solve this problem, you can think about the problem like this:

$4 \cdot 4 \cdot 4 \cdot 4 \cdot 4 \cdot 4$

So, first, look at the first part, $\textcolor{red}{4 \cdot 4} \cdot 4 \cdot 4 \cdot 4 \cdot 4$. Since $4 \cdot 4 = 16$, then, the equation can be simplified to

$16 \cdot 4 \cdot 4 \cdot 4 \cdot 4$

Now, look at this section of the problem, $16 \cdot \textcolor{red}{4 \cdot 4} \cdot 4 \cdot 4$. Since we established earlier that $4 \cdot 4$ is equal to $16$, the equation you have now is

$16 \cdot 16 \cdot 4 \cdot 4$

Like before, we can look at the next part of this equation, $16 \cdot 16 \cdot \textcolor{red}{4 \cdot 4}$. Once again, $4 \cdot 4$ is equal to $16$. So the equation is now simplified to

$16 \cdot 16 \cdot 16$

So now, we can look at the $16 \cdot 16$. That equals $256$.

$256 \cdot 16$ is what you have now.

After simplifying that, you end up with 4096, which is the answer.