# How to find the value of 12 to the 10th power and the number of digits [understand in 1 minute]

The result of calculating 12 to the power of 10 is 61917364224.

The calculation formula is as follows.

$12^{10}=$
61917364224

Also, $12^{10}$ has 11 digits.

Here, we will explain how to calculate $12^{10}$ and how to find the number of digits in $12^{10}$.

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## Calculating 12 to the 10th Power

12 to the 10th power is simply 12 multiplied by 10 times.

Basically, the only way to find it is to multiply atai1 by atai2 times.

After that, a google search is convenient for finding the answer. .

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

As explained, it is difficult to calculate the power, so it may be obtained as step 1.

Next, let's find the number of digits in $12^{10}$.

## Number of digits in 12 to the 10th power

Calculating $12^{10}$ gives us 11 digits.

### Find the number of digits in 12 to the 10th power

Let's calculate the common logarithm of 12 to the 10th power.

\begin{eqnarray}
\log_{10}12^{10}&=&10 \log_{10}12\\
&=&10\times 1.0791\cdots\\
&=&10.791
\end{eqnarray}

In other words,
We can say that $12^{10}=10^{10.791}$, so we know that $12^{10}$ has 11 digits.

### How to find the number of digits

To find the number of digits in $12^{10}$, 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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