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Question

 (1000) 7 ÷  (10)18 = ?

Options:
A .  10
B .  100
C .  1000
D .  10000
Answer: Option C

In the given question, the expression (1000)^7 ÷ (10)^18 is to be evaluated.
To solve this expression, the first step is to understand the meaning of the exponential terms used.
Exponential terms are used to represent repeated multiplication of a number by itself.
For example, (1000)^7 is the same as 1000 x 1000 x 1000 x 1000 x 1000 x 1000 x 1000.
Similarly, (10)^18 is the same as 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10.
To solve the given expression, the first step is to divide (1000)^7 by (10)^18.
This can be done by using the property of exponents which states that if two exponential terms with the same base are divided, the exponents can be subtracted.
Thus, (1000)^7 ÷ (10)^18 can be written as (1000)^7 ÷ (10)^18 = (1000)^718.
Since 1000 is raised to the power 718, it is equal to 1000 raised to the power -11.
This can be written as 100011 = 100011 = 1/100011.
Thus, the answer to (1000)^7 ÷ (10)^18 is 100011 = 1/100011 = 1000.
Therefore, option C. 1000 is the correct answer.

If you think the solution is wrong then please provide your own solution below in the comments section .


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3 Comments

C
10^3^7/10^18
10^21-18
10^3
=1000
(1000)^7/(10)^18

=( (10)^3)^7/(10)^18
= (10)^21/(10)^18
= (10)^21-18
= (10)^3
= 1000

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