(1000) 7 ÷ (10)18 = ?
• 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)^7–18.
• Since 1000 is raised to the power 7–18, it is equal to 1000 raised to the power -11.
• This can be written as 1000–11 = 1000–11 = 1/1000–11.
• Thus, the answer to (1000)^7 ÷ (10)^18 is 1000–11 = 1/1000–11 = 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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10^21-18
10^3
=1000
=( (10)^3)^7/(10)^18
= (10)^21/(10)^18
= (10)^21-18
= (10)^3
= 1000