Question

If x = (2 ^ - 2 - 2 ^ - 3), y = (2 ^ - 3 - 2 ^ - 4) = and z = (2 ^ - 4 - 2 ^ - 2) , then the value of x ^ 3 + y ^ 3 + z ^ 3

HELP PLEASE ​

Answer 1

Answer:

1/512

Step-by-step explanation:

x=2^-2-2^-3. y=2^+3-2^-4. z=2^-4 -2^-2.

x=1/4-1/8. y=1/8-1/16. z=1/16-1/4.

x=1/8. y=1/16. z=-3/16.

so,

x ^ 3 + y ^ 3 + z ^ 3

=1/8³+1/16³-3/16³

=1/512+1/4096-1/4096

=1/512