Question

Which expressions are equivalent to 2^5x2^4? Check all that apply.

2^9
2^20
2x2^9
2^10x2^2
2^-2x2^11
(2x2x2x2x2)(2x2x2x2)

Answer 1

Hello!

You can put all of these into a calculator and see if the equation the original equation.


`2^(5) * 2^(4) = 512`

Then you do 2^9 which equals 512

So 2^9 is one of the answers

Then 2^20 = 1048576

Since it does not equal 512 it is not one of the answers

2 * 2^9 = 1024

2^10 * 2^2 = 4096

2^-2 * 2^11 = 512

(2*2*2*2*2)(2*2*2*2) = 512

So the answers are:


2^9
2^-2 * 2^11
(2*2*2*2*2)(2*2*2*2)

Hope this helps!

Answer 2

Option 1, 5 and 6 are equivalent.

Explanation:

To find : Which expressions are equivalent to
`2^5* 2^4`? Check all that apply.

Solution :

First we solve the expression,

`2^5* 2^4=1^(5+4)=2^9`

1)
`2^9` it is equivalent.

2)
`2^(20)` it is not equivalent.

3)
`2* 2^9=2^(10)` it is not equivalent.

4)
`2^(10)* 2^2=2^(12)` it is not equivalent.

5)
`2^(-2)* 2^(11)=2^(9)` it is equivalent.

6)
`(2* 2* 2* 2* 2)(2* 2* 2* 2)=2^(5)* 2^4=2^9` it is equivalent.

Therefore, option 1, 5 and 6 are equivalent.