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How to calculate the value of 1 to the 66th power and the number of digits [Easy to understand]

Calculating 1 to the 66th Power

1 to the power of 66 is 1

Below is the formula.

$1^{66}=$
1

Also, $1^{66}$ has 1 digits.

This time, I will explain how to calculate $1^{66}$ and how to find the number of digits in $1^{66}$.

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Calculating 1 to the 66th Power

1 to the 66th power is simply 1 multiplied by 66 times.

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

Also, you can use google search.

If you search for "14 to the 21st power" on google here, a calculator will come up and tell you the answer.
>>search link<<

Actual search screen
Actual search screen

Calculating powers like this is difficult, so sometimes you just need to roughly calculate the number of digits.

Next, let's find the number of digits in $1^{66}$.

Number of digits in 1 to the 66th power

Calculating $1^{66}$ gives us 1 digits.

Number of digits in 1 to the 66th power
Calculating the number of digits in 1 to the 66th power

Find the number of digits in 1 to the 66th power

Let's actually ask for it.

Let's calculate the common logarithm of 1 to the 66th power.

\begin{eqnarray}
\log_{10}1^{66}&=&66 \log_{10}1\\
&=&66\times 0.0\cdots\\
&=&0.0
\end{eqnarray}

In other words,
We can say that $1^{66}=10^{0.0}$, so we know that $1^{66}$ has 1 digits.

How to find the number of digits

To find the number of digits in $1^{66}$, 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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