Question

find the value of 4/(216)- ⅔ – 1/(256)- ¾

Answer 1

4/(6power3)whole power -2/3. - 1/(4 power4)whole power -3/4
4/(6)-2 - 1/(4)-3
36/4 - 64/1 here power is negative so make power positive by reciprocal the digit
9-64
-55

Answer 2

Given Equation is $\frac{4}{(216)^-\frac{2}{3} }$  -  $(\frac{1}{(256)^- \frac{3}{4} }$   ----------- (1)


$\frac{4}{(216)^- \frac{2}{3} }$

= $\frac{4}{ \frac{1}{(216)^ \frac{2}{3} } }$

= $\frac{4}{ \frac{1}{( 6^{3})^ \frac{2}{3} } }$

= $\frac{4}{ \frac{1}{36} }$

= 4 * 36

= 144    ------------------- (2)



$\frac{1}{(256)^- \frac{3}{4} }$

= $\frac{1}{ \frac{1}{(256)^ \frac{3}{4} } }$

= $\frac{1}{ \frac{1}{( 4^{4)^ \frac{3}{4}} } }$

= $\frac{1}{ \frac{1}{ 4^{3} } }$

= $\frac{1}{ \frac{1}{64} }$

= 64.    ----------- (3)


Substitute (2) & (3) in (1), we get

144 - 64

= 80.


Hope this helps!