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In Mathematics / Middle School | 2014-09-19

Which is equal to [tex]10^{12}/10^{-3}[/tex]?

A. [tex]10^{-36}[/tex]
B. [tex]10^{-4}[/tex]
C. [tex]10^9[/tex]
D. [tex]10^{15}[/tex]

Please explain the answer.

Asked by Scolder2000

Answer (2)

When dividing exponents with the same base, you must subtract the second exponent from the first: 1 0 − 3 1 0 12 ​ = 1 0 12 − ( − 3 ) = 1 0 12 + 3 = 1 0 15
So D is the correct response. Hope this helps! :)

Answered by kittymaniac | 2024-06-10

The expression 1 0 − 3 1 0 12 ​ simplifies to 1 0 15 by subtracting the exponent in the denominator from the exponent in the numerator. Therefore, the correct answer is option D. 1 0 15 .
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Answered by kittymaniac | 2025-03-14

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