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neo22 neo22
  • 04-09-2015
  • Mathematics
Answered

why do you subtract exponents when dividing powers with the same base?

Verified Answer :

TSO
TSO TSO
  • 04-09-2015

\(\frac{a^6}{a^4} = \frac{a\times a \times a \times a \times a \times a}{a \times a \times a \times a} = a \times a = a ^{6-4} = a^2\)

If you started crossing the a's in the numerator and denominator, then you would be left with a x a

Hope that helped :)

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