Foxzzdffg
Foxzzdffg Foxzzdffg
  • 16-09-2021
  • Mathematics
contestada

Communicate Mathematical Ideas Why do you subtract exponents
when dividing powers with the same base?

Respuesta :

ortegakarlaa1
ortegakarlaa1 ortegakarlaa1
  • 16-09-2021

Answer:

We subtract exponents when diving powers with the same base because they eventually get canceled out when written in expanded form.

Step-by-step explanation:

For example, if we expand the given fractions:

10^3/10^1 = 1000/10 = 100 = 10^2

Now, if we subtract the exponents we get the same result.

10^3-1 = 10^2

So, a^m/a^n = a^m-

n is one of the exponent rules which saves time and makes calculation easier.

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