Question

What is the value of c in the equation below? 2^-4(2^2)=a^b=c

Answer 1

The answer is option 4.

Explanation:

You have to use Indices Law,

`{a}^(m) * {a}^(n) = {a}^(m + n)`

`{a}^( - n) = \frac{1}{ {a}^(n) }`

So for this question :

`{2}^( - 4) * {2}^(2)`

`= {2}^( - 4 + 2)`

`= {2}^( - 2)`

`{a}^(b) = c \\ c = {2}^( - 2)`

`c = \frac{1}{ {2}^(2) }`

`c = (1)/(4)`