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What is 10 to the fifth power?

Answer
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Hint: To find the value of 10 to the fifth power, we will denote it as 105 . When a number, say, x, is raised to a number, say a, we can find its value by multiplying x, ‘a’ times.

Complete step by step solution:
We have to find the value of 10 to the fifth power. Let us denote this as 105 . We know that for a number, say, x, when raised to a number, say a, we can find its value by multiplying x, ‘a’ times. We can write it as
xa=x×x×....×xa times
Hence, we can write 105 as
105=10×10×10×10×10
Let us simplify the above value. First, we have to combine pairs of 10.
105=(10×10)×(10×10)×10
Let us multiply each pair.
105=100×100×10
Now, we have a combined pair of 100.
105=(100×100)×10
Let us multiply this pair of 100.
105=10000×10
Now, let us perform a multiplication operation.
105=100000

Hence, the value of 10 to the fifth power is 100000.

Note: Students must note that when a question contains ‘to the power of’ and ‘raised to’, it means we are dealing with exponents. For a number in the form 105 , we call 5 as the exponent and 10 as the base. An exponent refers to the number of times a number is multiplied by itself. We can also find 105 in an alternate way. Instead of multiplying 10 five times, we just need to add five zeroes to the right of 1. There are many properties associated with exponents.