# The value of 8 to the 77th power and the calculation method of the number of digits [Easy to understand]

8 to the 77th power is 3450873173395281893717377931138512726225554486085193277581262111899648.

The calculation formula is as follows.

$8^{77}=$
3450873173395281893717377931138512726225554486085193277581262111899648

Also, $8^{77}$ has 70 digits.

This page explains how to calculate $8^{77}$ and how to calculate the number of digits of $8^{77}$.

This site is created by Dr. Thomsontom labIt operates under the name

## Calculating 8 to the 77th Power

8 to the 77th power is simply 8 multiplied by 77 times.

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

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, the calculation of the power takes time, so it may be obtained as step 1.

Next, let's find the number of digits in $8^{77}$.

## Number of digits in 8 to the 77th power

Calculating $8^{77}$ gives us 70 digits.

### Find the number of digits in 8 to the 77th power

Let's calculate the common logarithm of 8 to the 77th power.

\begin{eqnarray}
\log_{10}8^{77}&=&77 \log_{10}8\\
&=&77\times 0.903\cdots\\
&=&69.537
\end{eqnarray}

In other words,
We can say that $8^{77}=10^{69.537}$, so we know that $8^{77}$ has 70 digits.

### How to find the number of digits

To find the number of digits in $8^{77}$, 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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