# How to find the value of 14 to the power of 29 and the number of digits [Easy to understand]

Converting 14 to the 29th power to a value yields 1728673739677471101567216945987584.

The formula is as follows.

$14^{29}=$
1728673739677471101567216945987584

Also, $14^{29}$ has 34 digits.

This time, I will explain how to find the value of $14^{29}$ and how to find the number of digits of $14^{29}$.

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## Calculating 14 to the 29th Power

14 to the 29th power is simply 14 multiplied by 29 times.

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

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, calculating the power takes time, so it is sometimes obtained as the first step.

Next, let's find the number of digits in $14^{29}$.

## Number of digits in 14 to the 29th power

Calculating $14^{29}$ gives us 34 digits.

### Find the number of digits in 14 to the 29th power

Let's calculate the common logarithm of 14 to the 29th power.

\begin{eqnarray}
\log_{10}14^{29}&=&29 \log_{10}14\\
&=&29\times 1.1461\cdots\\
&=&33.237
\end{eqnarray}

In other words,
We can say that $14^{29}=10^{33.237}$, so we know that $14^{29}$ has 34 digits.

### How to find the number of digits

To find the number of digits in $14^{29}$, 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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