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Which value is equivalent to..

- anonymous

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

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- anonymous

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- anonymous

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

- anonymous

Ok. So first you simplify whats inside the brackets

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## More answers

- anonymous

So, 70 over 21 for the first one?

- anonymous

Yes! And the second one..

- anonymous

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

- anonymous

(just in case you didnt know)

- anonymous

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

- anonymous

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

- anonymous

Nvm found it out, 0.125.

- anonymous

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

- anonymous

Right now we are still keeping the terms seperated

- anonymous

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

- anonymous

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

- anonymous

since its to the power of 2

- anonymous

So 70/21 times 70/21

- anonymous

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

- anonymous

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

- anonymous

So now you do the same with the next one

- anonymous

Only of course, to the power of 3 this time

- anonymous

512

- anonymous

yes!

- anonymous

Then the last ones fairly simple. just simplify

- anonymous

Yeah, 0.001953125

- 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

- anonymous

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

- anonymous

I got 11 over 9

- anonymous

11 over 9?

- anonymous

when I do it I get 11 and 1 over 9

- anonymous

Can you explain what you did to get your answer?

- anonymous

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

- anonymous

try making 11 and 1 over 9 into an improper fraction

- anonymous

this time it just came out as 100 over 9

- anonymous

Right! Isn't that one of the answers?

- anonymous

Oh yeah! Thank you

- anonymous

You are welcome!

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