Question

Find the value of 4/(216)^-2/3 - 1/(256)^-3/4

Answer 1

Answer:

80

Step-by-step explanation:

start with taking Reciprocal

= 4/1/(216)^2/3    -    1/1/(256)^3/4

= [4x(216)^2/3]    -     [1x(256)^3/4]

= 4x(216)^2/3      -     (256)^3/4

Now we know cube root of 216 is 6 and 4th root of 256 is 4

therefore,

=4x(6)^2     -   (4)^3

= 4x36       - 64

= 144-64

= 80

ANS: 80