# How to calculate the value of 9 to the 26th power and the number of digits [Super easy]

The result of calculating 9 to the power of 26 is 6461081889226673298932241.

The calculation formula is as follows.

$9^{26}=$
6461081889226673298932241

Also, $9^{26}$ has 25 digits.

This time, I will explain how to find $9^{26}$ and how to find the number of digits in $9^{26}$.

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## Calculating 9 to the 26th Power

9 to the 26th power is simply 9 multiplied by 26 times.

Basically, the only way to find it is to repeat multiplication.

Also, you can use google search.

If you search for "14 to the 21st power" on google here, a calculator will come up and tell you the answer.

As mentioned above, it is difficult to calculate the power, so sometimes we just roughly calculate the number of digits.

Next, let's find the number of digits in $9^{26}$.

## Number of digits in 9 to the 26th power

Calculating $9^{26}$ gives us 25 digits. Calculating the number of digits in 9 to the 26th power

### Find the number of digits in 9 to the 26th power

Let's calculate the common logarithm of 9 to the 26th power.

\begin{eqnarray}
\log_{10}9^{26}&=&26 \log_{10}9\\
&=&26\times 0.9542\cdots\\
&=&24.81
\end{eqnarray}

In other words,
We can say that $9^{26}=10^{24.81}$, so we know that $9^{26}$ has 25 digits.

### How to find the number of digits

To find the number of digits in $9^{26}$, use common logarithms.

By using the common logarithm, we can calculate the power of 10, so we know the number of digits.

For example, $10^1=10$ is 2 digits.
On the other hand, $10^2=100$, so 3 digits.

So $10^a$ has $10+1$ digits.
If $a$ is a decimal, the number of digits is the integer part plus 1.

$a=11.34$ will be 12 digits.

## power size quiz

Q1

Which one is bigger?

$12 ^ 5$

$5^{12}$

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