michellej4230 michellej4230
  • 16-06-2022
  • Mathematics
contestada

How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal
of the positive exponent?

Respuesta :

dkj8p6qvhq dkj8p6qvhq
  • 16-06-2022

Answer:Thus,  (-3)-4 = 1/(-3)4.

Step-by-step explanation:

Negative exponents have the following property:   n-m = 1/nm   OR   1/n-m = nm

So for  (-3)-4 ,  n= -3 and -m= -4 (or m= 4).

Thus,  (-3)-4 = 1/(-3)4.

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