Question

What is the simplified expression for

2^2 • 2^3 over
24
O 20
O 21
O 22
O 23

Answer 1

(B)
`2^1`

Explanation:

We are to simplify the given expression:
`(2^2 \cdot 2^3)/(2^4)`

Step 1: Apply the addition law of indices to simplify the numerator.

`\text{Addition Law: }a^x \cdot a^y=a^(x+y)`

Therefore:

`(2^2 \cdot 2^3)/(2^4) \\\\=(2^(2+3))/(2^4)\\\\=(2^5)/(2^4)`

Step 2: Apply the Subtraction law of indices to simplify the expression

`\text{Subtraction Law: }a^x / a^y=a^(x-y)\\\\\implies (2^5)/(2^4) =2^(5-4)\\\\=2^1`

The correct option is B.