SOLUTION: If b is not equal to 0, which exponents or powers property is not written correctly? A) b^0=1 B) 1/b^n=b-n C) b^m * b^n=b^mn D) a^n/b^n=(a/b)^n Thank you SO much for any h

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: If b is not equal to 0, which exponents or powers property is not written correctly? A) b^0=1 B) 1/b^n=b-n C) b^m * b^n=b^mn D) a^n/b^n=(a/b)^n Thank you SO much for any h      Log On


   

Question 26612: If b is not equal to 0, which exponents or powers property is not written correctly?
A) b^0=1
B) 1/b^n=b-n
C) b^m * b^n=b^mn
D) a^n/b^n=(a/b)^n
Thank you SO much for any help you can offer me!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
We can go down the list and eliminate the erroneous answer.
A) "Any real number (besides zero) raised to the zero power equals 1."
So b%5E0=1 is correct.
B) 1%2Fb%5En+=+b%5E%28-n%29 This is correct.
C) The "Product of powers" rule states: %28a%5Em%29%28a%5En%29+=+a%5E%28m%2Bn%29
So %28b%5Em%29%28b%5En%29+=+b%5Emn is incorrect!
D) The "power of quotients" rule states that: %28a%2Fb%29%5Em+=+%28a%5Em%29%2F%28b%5Em%29
So %28a%5En%29%2F%28b%5En%29+=+%28a%2Fb%29%5En is correct.