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prestonshelton
Hello!

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

[tex] 2^{5} * 2^{4} = 512[/tex]

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:

Option 1, 5 and 6 are equivalent.

Step-by-step explanation:

To find : Which expressions are equivalent to [tex]2^5\times 2^4[/tex]? Check all that apply.

Solution :

First we solve the expression,

[tex]2^5\times 2^4=1^{5+4}=2^9[/tex]

1) [tex]2^9[/tex] it is equivalent.

2) [tex]2^{20}[/tex] it is not equivalent.

3) [tex]2\times 2^9=2^{10}[/tex] it is not equivalent.

4) [tex]2^{10}\times 2^2=2^{12}[/tex] it is not equivalent.

5) [tex]2^{-2}\times 2^{11}=2^{9}[/tex] it is equivalent.

6) [tex](2\times 2\times 2\times 2\times 2)(2\times 2\times 2\times 2)=2^{5}\times 2^4=2^9[/tex] it is equivalent.

Therefore, option 1, 5 and 6 are equivalent.

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