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.
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:
[tex]\dfrac{ (b ^ n) }{(b ^ m)}[/tex]
We have to:
b = number other than zero
m, n = any number
By properties of exponents we have:
[tex]\dfrac{ (b ^ n) }{(b ^ m)} = b ^{ (n-m)}[/tex]
Therefore, we have that the statement shown is false.
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