Question

Which expression is equivalent to (2)−3(4)0 ?

A = (12)×(12)×(12)×4
B= (12)×(12)×(12)×1
C= (−2)×(−2)×(−2)×1
D= (−2)×(−2)×(−2)×4

Answer 1

if any number power of 0 is 1

so, (4)^0 =1

if any number power of -1 is equal to one divide this number.

like;

a^(-1) = 1/a

Therefore,

2^(-3) = 2^(-1) x 2^(-1) x 2^(-1)

= 1/2 x 1/2 x 1/2

Hence solution of 2^(-3). (4) ^0 is,

1/2 x 1/2 x 1/2 x 1