Question

What is 10 to the power of 7?
(a) 10000000
(b) 100000
(c) 1000000
(d) None of these

Answer 1

Hint: In the given problem, we are trying to find the value of ${{10}^{7}}$. To find that we are to multiply 10 , 7 times altogether. Then by simplifying and finding the value, we will get our needed result.

Complete step by step solution:
According to the problem, we are trying to find the value of 10 to the power of 7.
Now, again, the power (or exponent) of a number says how many times to use the number in a multiplication.
It is written as a small number to the right and above the base number.
Just like, 10 to the power of 7 can be written as, ${{10}^{7}}$ .
Now, the value of a given power term is said to be, ${{a}^{b}}=a\times a\times a....\left( b\,times \right)$
Saying an example, ${{3}^{4}}=3\times 3\times 3\times 3$ which simplifies giving us a value 81.
Thus, to find the value of 10 to the power of 7, ${{10}^{7}}$, we are to find the value of, $10\times 10\times 10\times 10\times 10\times 10\times 10$ .
After further simplification, we are getting, the value would be, 10000000.
So, the value of 10 to the power 7 is, 10000000

So, the correct answer is “Option a”.

Note: We have used the exponent rule in the given problem. Now, the properties say, any number raised to the power of one equals the number itself. For any number a, except 0, ${{a}^{1}}=a$ . Any number raised to the power of zero, except zero, equals one. For any numbers a, b, and c, ${{a}^{b}}\times {{a}^{c}}={{a}^{b+c}}$ .This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.