## anonymous one year ago Find the value of the following expression

1. anonymous

2. anonymous

@danjs

3. anonymous

@Nnesha @jhannybean @mathstudent55

4. DanJS

have to use a couple of the exponent rules

5. DanJS

$\large [u^a]^b = u^{a*b}$ $u^a * u^b = u^{a+b}$

6. anonymous

@danjs I know that but I cant seem to get the answer right

7. DanJS

k, let me enter the thing

8. DanJS

$\large (2^8 * 3^{-5}*6^0)^{-2}*[\frac{ 3^{-2} }{ 2^3 }]^4*2^{28}$

9. anonymous

@DanJS I know what the expression is I need the answer...

10. DanJS

i can give you the answer, but how would you know where you went wrong to get there

11. anonymous

12. DanJS

i can show you how to apply the exponent properties and get to the answer

13. DanJS

You can only apply the exponent rules if the base is the same... I would do the parenthesis part first, and a power raised to a power is where you multiply the powers to simplify $\large (2^8 * 3^{-5}*6^0)^{-2}*\frac{ 3^{-2*4} }{ 2^{3*4} }*2^{28}$

14. anonymous

-40?

15. DanJS

The parenthesis part left has 6^0 in it, something to the zero power is always 1. Here again you apply the power raised to a power rule to simplify $\large (2^{-16} * 3^{10}*1)*\frac{ 3^{-8} }{ 2^{12} }*2^{28}$

16. DanJS

not sure, i didnt calculate anything

17. DanJS

You can change the side of a fraction an exponential is on by changing the sign of it's exponent, move the 2^12 to the numorator, you are left with just a string of terms being multiplied

18. DanJS

$\large 2^{-16} * 3^{10}*1* 3^{-8}* 2^{-12} *2^{28}$ combine the powers of the like bases, then it is simplified