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Need help with tricky math problem?
If 2^a / 2^b = x, then x =
A. a-b
B. a/b
C. 2a-b
D. 2a+b
E. None of these.
Correct response will be awarded with best answer, thank you!
6 Answers
- 9 years ago
dpirsq2, that's wrong. The EXPONENT turns out to be a-b, not x itself.
x actually turns out to be 2^(a-b), so the answer is E. Here's how you get there.
2^a / 2^b = x
Right off the bat, you can use the quotient-of-powers rule, which says that:
a^m / a^n = a^(m-n)
This gives you:
2^(a-b) = x
So again, the answer is E, "None of these."
Oh, and just to be clear, 2^(a-b) is not the same thing as 2a-b, so the answer is not C either (unless the person who asked the question typed it out wrong).
- dpirsq2Lv 59 years ago
When dividing with exponents, you subtract the exponents as long as the bases are the same.
The answer is E. None of these
2^a-b should be the answer.
- Anonymous9 years ago
x=2^(a-b)
None of the given answers is correct