Question

$\large{ \green{ \underbrace{\bf{ \red{Question \longrightarrow}}}}}$

$\large\underline{\bf{ \mapsto \: if \: \: \frac{1}{256} = {2}^{a} \: then \: a = }}$
A-(-8)
B-8
C-16
D-2
​

Answer 1

Answer:

-8

Step-by-step explanation:

2^-8 = 1/256

Therefore a = -8

Answer 2

Given :-

$\rm\dfrac{1}{256}=2^{a}$

find:- a

Solution:-

$\[ \begin{array}{l} \rm \dfrac{1}{256}=2^{a} \\ \\ \\ \rm \dfrac{1}{2^{8}}=2^{a} \\ \\ \\ \rm 2^{-8}=2^{a} \\ \\ \\ \boxed{\color{blue} \rm a=-8} \end{array} \]$

Hence, Correct option is (B).