anonymous one year ago (Fan and medal, going to attach a picture) Which value is equivalent to..

1. anonymous

2. anonymous

a. 10 over 9 b. 20 over 3 c. 100 over 9 d. 700 over 3

3. anonymous

Ok. So first you simplify whats inside the brackets

4. anonymous

So, 70 over 21 for the first one?

5. anonymous

Yes! And the second one..

6. anonymous

When you have anything to the power of zero the answer is 1

7. anonymous

(just in case you didnt know)

8. anonymous

Yeah, I know that the top becomes 1 but I'm not sure what to do with the negative exponent.

9. anonymous

are you allowed to use a calculator? Because then its easy

10. anonymous

Nvm found it out, 0.125.

11. anonymous

Ok, perfect! So now all the brackets are gone you can start applying the exponents that were outside

12. anonymous

Right now we are still keeping the terms seperated

13. anonymous

So what would the next step be? Do I do 70^2?

14. anonymous

no you multiply the whole fraction by itself for 70/21

15. anonymous

since its to the power of 2

16. anonymous

So 70/21 times 70/21

17. anonymous

Oh okay. I got 11.1111.. when putting it in a calculator

18. anonymous

right. this is the same as the fraction 11 1/9 by the way.

19. anonymous

So now you do the same with the next one

20. anonymous

Only of course, to the power of 3 this time

21. anonymous

512

22. anonymous

yes!

23. anonymous

Then the last ones fairly simple. just simplify

24. anonymous

Yeah, 0.001953125

25. anonymous

At this stage you should have this: $11 \frac{ 1 }{ 9 } \times 512 \times \frac{ 1 }{ 512}$ 1/512 is the same as what you got, just put into a fraction to make it easier to write out

26. anonymous

so now you just multiply. Again a calculator makes this quick if you are allowed one

27. anonymous

I got 11 over 9

28. anonymous

11 over 9?

29. anonymous

when I do it I get 11 and 1 over 9

30. anonymous

31. anonymous

I just put 11 and 1 over 9 * 512 * 1 over 512 into the calculator and that's what it gave me

32. anonymous

try making 11 and 1 over 9 into an improper fraction

33. anonymous

this time it just came out as 100 over 9

34. anonymous

Right! Isn't that one of the answers?

35. anonymous

Oh yeah! Thank you

36. anonymous

You are welcome!

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