What is the $6$ raised to power of $5$?
Answer
547.5k+ views
Hint: In this problem we need to calculate the value of $6$ raised to power of $5$. That means we need to calculate the value of $6$ power of $5$ which is nothing but multiplying $6$ by itself $5$ times. So, we will first multiply $6$ with itself after multiplying the obtained result with again $6$ likewise multiply $6$ with itself $5$ time to get the required result.
Complete step-by-step solution:
Given that, $6$ raised to power of $5$. So, we can write the $6$ power of $5$ mathematically as ${{6}^{5}}$.
To calculate the value of ${{6}^{5}}$ we are going to multiply $6$ with itself $5$ times. We can write it as
${{6}^{5}}=6\times 6\times 6\times 6\times 6$
We know that the value of $6\times 6$ is $36$ substituting this value in the above equation, then we will get
${{6}^{5}}=36\times 6\times 6\times 6$
Again, we have the value of $36\times 6$ as $216$. Substituting this value in the above equation, then we will have
${{6}^{5}}=216\times 6\times 6$
Now we have the value of $216\times 6$ as $1296$. Substituting this value in the above equation, then we will get
${{6}^{5}}=1296\times 6$
Finally, we have the value of $1296\times 6$ as $7776$. Substituting this value in the above equation, then we will have
${{6}^{5}}=7776$
Hence the value of $6$ raised to power of $5$ is $7776$.
Note: This type of problem needs simple calculations like multiplication. But when the given numbers or powers are huge then we will get huge multiplication, so it is better to have a calculator if possible, to get the proper result.
Complete step-by-step solution:
Given that, $6$ raised to power of $5$. So, we can write the $6$ power of $5$ mathematically as ${{6}^{5}}$.
To calculate the value of ${{6}^{5}}$ we are going to multiply $6$ with itself $5$ times. We can write it as
${{6}^{5}}=6\times 6\times 6\times 6\times 6$
We know that the value of $6\times 6$ is $36$ substituting this value in the above equation, then we will get
${{6}^{5}}=36\times 6\times 6\times 6$
Again, we have the value of $36\times 6$ as $216$. Substituting this value in the above equation, then we will have
${{6}^{5}}=216\times 6\times 6$
Now we have the value of $216\times 6$ as $1296$. Substituting this value in the above equation, then we will get
${{6}^{5}}=1296\times 6$
Finally, we have the value of $1296\times 6$ as $7776$. Substituting this value in the above equation, then we will have
${{6}^{5}}=7776$
Hence the value of $6$ raised to power of $5$ is $7776$.
Note: This type of problem needs simple calculations like multiplication. But when the given numbers or powers are huge then we will get huge multiplication, so it is better to have a calculator if possible, to get the proper result.
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