20 to the power of 56 is 7205759403792793600000000000000000000000000000000000000000000000000000000
The formula is shown below.
$20^{56}=$
7205759403792793600000000000000000000000000000000000000000000000000000000
Also, $20^{56}$ has 73 digits.
This time, I will explain how to find the value of $20^{56}$ and how to solve for the number of digits in $20^{56}$.
Calculating 20 to the 56th Power
20 to the 56th power is simply 20 multiplied by 56 times.
Basically, the only way to find it is to repeat multiplication.
A google search is convenient.
For example, if you search for "14 to the 21st power" on google, a calculator will come up and tell you the answer.
>>search link<<
As you can see, it takes effort to calculate the power, so sometimes you need to find out how many digits the value of the power is.
Next, let's find the number of digits in $20^{56}$.
Number of digits in 20 to the 56th power
Calculating $20^{56}$ gives us 73 digits.
Find the number of digits in 20 to the 56th power
Let's actually ask for it.
Let's calculate the common logarithm of 20 to the 56th power.
\begin{eqnarray}
\log_{10}20^{56}&=&56 \log_{10}20\\
&=&56\times 1.301\cdots\\
&=&72.857
\end{eqnarray}
In other words,
We can say that $20^{56}=10^{72.857}$, so we know that $20^{56}$ has 73 digits.
How to find the number of digits
To find the number of digits in $20^{56}$, 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.
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