Question

Which expression is equivalent to _?

Answer 1

Answer:

2^-1

Step-by-step explanation:

2^2 *2 / 2^4

We know that 2^2 * 2 = 2^2 *2^1

a^b*a*c = a^(b+c)  so 2^2*2*1 = 2^(2+1)+ 2^3

2^3 / 2^4

We know that a^b / a^c = a^(b-c)

2^3 /2^4 = 2^(3-4) =2^-1

Answer 2

Answer:

B. 2^-1

Step-by-step explanation:

First, you want to solve all of your exponents...

2^4=16

2^2=4

Now, plug in the values...

(4/1)(2/16)=8/16=1/2

Negative exponents result in fractions, therefore, 1/2=2^-1