# How to find the value of 8 to the power of 87 and the number of digits [Easy to understand]

After calculating 8 to the 87th power, the answer is 3705346855594118253554271520278013051304639509300498049262642688253220148477952.

This is how the formula looks like:

$8^{87}=$
3705346855594118253554271520278013051304639509300498049262642688253220148477952

Also, $8^{87}$ has 79 digits.

In this article, I will explain how to find the value of $8^{87}$ and how to find the number of digits of $8^{87}$.

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## Calculating 8 to the 87th Power

8 to the 87th power is simply 8 multiplied by 87 times.

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

Also, you can use google search.

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

As mentioned above, calculating the power is difficult, so it may be obtained as step 1.

Next, let's find the number of digits in $8^{87}$.

## Number of digits in 8 to the 87th power

Calculating $8^{87}$ gives us 79 digits.

### Find the number of digits in 8 to the 87th power

Let's calculate the common logarithm of 8 to the 87th power.

\begin{eqnarray}
\log_{10}8^{87}&=&87 \log_{10}8\\
&=&87\times 0.903\cdots\\
&=&78.568
\end{eqnarray}

In other words,
We can say that $8^{87}=10^{78.568}$, so we know that $8^{87}$ has 79 digits.

### How to find the number of digits

To find the number of digits in $8^{87}$, 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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