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1 vote
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)

2 Answers

3 votes
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!
User Vern Burton
by
7.4k points
4 votes

Answer:

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.

User MrJD
by
8.4k points