Question

PLEASE HELP QUICK!!!!!!!

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?

A) 2 power 0
B) 2 power 1
C) 2 power 2
D) 2 power 3

Answer 1

`2^1`

Explanation:

Hello! So, to tackle this problem let's start off with writing out the formula as such!
`(2^2 * 2^3)/(2^4)`

To solve this, what we can do is start off by isolating
`(2^2)/(2^4)` (we can worry about
`2^3` later). To evaluate
`(2^2)/(2^4)`, we're essentially just simplifying the fraction and reducing the exponents. In this case, we can reduce the power of 2 from both the numerator and denominator to get
`(1)/(2^2)` (this is obtained by dividing both numerator and denominator by
`2^2`)

Once we have that, we are now essentially left with
`(2^3)/(2^2)`! From here, we can apply exponent rule, which allows us to get rid of the denominator entirely and now it becomes 2^(3-2). We can subtract the numbers to then simplify it into our answer,
`2^1` or in other words just 2!