Question

Use the equation y=3(1/2)^x to determine the value of y if x = -2

Answer 1

Given :-

• A Equation , $\sf y = 3(1/2)^x$

To find :-

• The value of y at x = -2.

Solution :-

The given equation is ,

$\red{\longrightarrow}\sf y = 3(1/2)^x$

Now on substituting x = -2 , we have,

$\red{\longrightarrow} y = 3(1/2)^{-2}$

Using the property of exponents as ,

$\red{\longrightarrow} \sf a^{-m}= 1/a^m$

We have ,

$\red{\longrightarrow}\sf y = 3(2)^2$

$\red{\longrightarrow}\sf y = 3(4)$

$\red{\longrightarrow}\bf y = 12$

Hence the required answer is 12.