Benny bought 9 new basketball trading cards to add to his collection. the next day his dog ate half of his collection. there are 43 cards left. how many cards did he begin with?

Benny started with 77 cards.

Step-by-step explanation:

The first step is to find what 43 is a half of. If we multiple 43 by two, we see that the answer is 86. As this number included the 9 cards he bought the day before, we must subtract 9 from 86, giving us 77.

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

step-by-step explanation: