QR Question

[pkossak]

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How do you solve the following

2^21/4^4(4^4 + 4^5)

Answer is supposed to be 2^5/5

Appreciate any help

 

[Lonely Sol]

How do you solve the following

2^21/4^4(4^4 + 4^5)

Answer is supposed to be 2^5/5

Appreciate any help

This is what I would do, but it doesnt seem to work out for me:

2^21/2^8*(2^8+2^10) == substract 2^8 from 2^21 first;
2^13/(2^8+2^10) ==all you can do know is figure out what 2^8 and 2^10 equals (2^8 = 256 and 2^10 = 1024);
2^13/(256+1024)
2^13/(1280) ==know that 1280 = 2^8 * 5

now, substract 2^8 from 2^13 = 2^5

So, Now you are left with 2^5/5

*Hope this helps!

 

[Streetwolf]

How do you solve the following

2^21/4^4(4^4 + 4^5)

Answer is supposed to be 2^5/5

Appreciate any help

Start with 2^21 / 4^4(4^4 + 4^5)

Take out 4^4 from denominator parentheses:

2^21/ 4^8(1 + 4)

Rewrite 4^8 as (2^2)^8 = 2^16. Also 1 + 4 = 5:

2^21 / 2^16 * 5

Simplify:

2^5 / 5

 

[Lonely Sol]

Start with 2^21 / 4^4(4^4 + 4^5)

Take out 4^4 from denominator parentheses:

2^21/ 4^8(1 + 4)

Rewrite 4^8 as (2^2)^8 = 2^16. Also 1 + 4 = 5:

2^21 / 2^16 * 5

Simplify:

2^5 / 5

Wow!, wish I could've thought of that, it would have same me alot of time, if I had that on the test!

 

[pkossak]

Thanks a lot guys

 

[andyjl]

Start with 2^21 / 4^4(4^4 + 4^5)

Take out 4^4 from denominator parentheses:

2^21/ 4^8(1 + 4)

Rewrite 4^8 as (2^2)^8 = 2^16. Also 1 + 4 = 5:

2^21 / 2^16 * 5

Simplify:

2^5 / 5

How are you getting the (1+4)? I see where you get the 1, but how do you get the 4?


...nm..lol i see it now