Question

Evaluate the function rule for the given value. Y=4•2^x for x=-6

Answer 1

Y=4•2^x

y = 4 * 2^ -6

y = 2^2 * 2^-6

when the bases are the same add the exponents

y = 2^ (2-6)

y = 2^ -4

negative exponents take it to the denominator if in the numerator

y = 1/ 2^4

y = 1/16

Answer 2

Answer: The value of y is
`(1)/(16)`

Explanation:

Since we have given that

`y=4.2^x`

We need to find the value of y for x = -6.

So, by putting the value of x in the above equation , we get that

`y=4.2^(-6)\\\\y=\dfraac{4}{2^6}\\\\y=(4)/(64)\\\\y=(1)/(16)`

Hence, the value of y is
`(1)/(16)`