The division law of exponents says that if b is a nonzero number and n and m are any numbers, then b^n/b^m=b^m-n so, the statement shown is false.
<h3>What are exponents?</h3>
The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
For this case we have the following expression:
![\dfrac{ (b ^ n) }{(b ^ m)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%20%28b%20%5E%20n%29%20%7D%7B%28b%20%5E%20m%29%7D)
We have to:
b = number other than zero
m, n = any number
By properties of exponents we have:
![\dfrac{ (b ^ n) }{(b ^ m)} = b ^{ (n-m)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%20%28b%20%5E%20n%29%20%7D%7B%28b%20%5E%20m%29%7D%20%3D%20b%20%5E%7B%20%28n-m%29%7D)
Therefore, we have that the statement shown is false.
Learn more about exponentiation here:
brainly.com/question/26938318
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