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

Question

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

anonymous · Answer

attachment

anonymous · Answer

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

anonymous · Answer

Ok. So first you simplify whats inside the brackets

anonymous · Answer

So, 70 over 21 for the first one?

anonymous · Answer

Yes! And the second one..

anonymous · Answer

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

anonymous · Answer

(just in case you didnt know)

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Nvm found it out, 0.125.

anonymous · Answer

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

anonymous · Answer

Right now we are still keeping the terms seperated

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

since its to the power of 2

anonymous · Answer

So 70/21 times 70/21

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

So now you do the same with the next one

anonymous · Answer

Only of course, to the power of 3 this time

anonymous · Answer

512

anonymous · Answer

yes!

anonymous · Answer

Then the last ones fairly simple. just simplify

anonymous · Answer

Yeah, 0.001953125

anonymous · Answer

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 · Answer

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

anonymous · Answer

I got 11 over 9

anonymous · Answer

11 over 9?

anonymous · Answer

when I do it I get 11 and 1 over 9

anonymous · Answer

Can you explain what you did to get your answer?

anonymous · Answer

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

anonymous · Answer

try making 11 and 1 over 9 into an improper fraction

anonymous · Answer

this time it just came out as 100 over 9

anonymous · Answer

Right! Isn't that one of the answers?

anonymous · Answer

Oh yeah! Thank you

anonymous · Answer

You are welcome!