A musician purchases a pair of cube-shaped speakers that are 9 inches across. If the face of the speaker takes up of the total volume of the speaker, how much volume is left in both speaker cabinets? 607 cu. in. 1215 cu. in. 1458 cu. in. 800 cu. in.

Assuming "the speaker takes up 1/6 of the internal volume"

volume is 9³ in³

you want the remaining volume, which is 5/6 of the total

(5/6)9³ = 607.5 in³

double that if you want the remaining volume for BOTH speakers

step-by-step explanation:

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: