What is the value of the expression shown below?
3 over 5 to the power of 2 + 4 × 3 − 2

- anonymous

What is the value of the expression shown below?
3 over 5 to the power of 2 + 4 × 3 − 2

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- anonymous

@DecentNabeel @Mertsj

- DecentNabeel

2 + 4 × 3 − 2
2+12-2
14-2
=12
(3/5)^12
=

- anonymous

the answer would be?

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## More answers

- anonymous

12?

- DecentNabeel

\[\left(\frac{3}{5}\right)^{12}=\frac{3^{12}}{5^{12}}\quad \left(\mathrm{Decimal:\quad }\:0.00218\right)\]

- anonymous

12 9/25?

- DecentNabeel

this is new qustion..

- anonymous

i mean whats the answer to the question

- DecentNabeel

12*9/25 ..
you need answer for this question

- anonymous

whats the answer to the first question

- DecentNabeel

what is the question ..
tell me again

- anonymous

3 over 5 to the power of 2 + 4 × 3 − 2

- DecentNabeel

first solve this one..
2 + 4 × 3 − 2

- anonymous

12

- DecentNabeel

gud then 3/5 to the power of 12
then solve

- DecentNabeel

mean..
12^(3/5)
ok

- anonymous

9.6?

- anonymous

whats the answer?

- DecentNabeel

\[12^{\frac{3}{5}}=4.44129\]
that is the answer

- anonymous

actually no these are the choices.... 10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25

- anonymous

I need the answer to the whole question.. i dont have time t6o solve it out.

- anonymous

*to

- UsukiDoll

Due to OpenStudy's Code of Conduct, we can't give out direct answers. We can only guide the user through the process of solving their question.

- anonymous

ik but solving it is making me even more confused ik the rules

- UsukiDoll

But I got to ask... where did you guys get the exponent 12 from when the original question is
3 over 5 to the power of 2 + 4 × 3 − 2 ???

- UsukiDoll

wouldn't the problem be something like this?
\[(\frac{3}{5})^2+4 \times 3 - 2\]

- UsukiDoll

I do apologize the latex isn't working correctly... |dw:1436833508036:dw|
is that your question @KAKES1967

- anonymous

yes

- UsukiDoll

ok so this is order of operations. We need to do
parenthesis, exponent, multiply, divide, add, and subtract
so we do have parenthesis and exponent to deal with first.

- UsukiDoll

so that exponent number 2 means that we write the fraction 3/5 twice
|dw:1436833605156:dw|
try solve that part first

- anonymous

so 1.2

- UsukiDoll

umm it's best to work with fractions...decimals can be a pain sometimes

- UsukiDoll

what's 3 x 3
what's 5 x 5

- UsukiDoll

|dw:1436833698945:dw| we're trying to solve this part first because we have paraenthesis and exponents

- anonymous

9 and 25

- UsukiDoll

cool! |dw:1436833730367:dw|

- UsukiDoll

so we got PE out of the way... MDAS is still lurking ... oh I see multiplication what's 4 x 3 ?

- anonymous

9/25 plus 12-2

- anonymous

right?

- UsukiDoll

yes |dw:1436833808152:dw| since there is no division, we skip it. Now we do addition. Note: we solve these problems from left to right (left that out by accident sorry ^_^)

- anonymous

2.36?

- UsukiDoll

so .. ouch we have to do 9/25 +12
but the denominators aren't the same so we need to do the LCD/GCF
well your attempt was close... let's go over this part together.

- anonymous

oh i thought it was 2 sorry

- anonymous

12.36

- UsukiDoll

so we need to multiply 25/25 to the 12. |dw:1436833931892:dw|
WOW! that's correct for that part.

- UsukiDoll

but for the sake of simplicity since we need a mixed fraction at the end, let's keep this in fraction form. |dw:1436833972612:dw|

- UsukiDoll

now we need to do the GCF all over again and it's just 25 so we multiply 25/25 for that 2
|dw:1436834026409:dw|

- UsukiDoll

so what's 2 x 25?

- anonymous

50

- UsukiDoll

mhm!
|dw:1436834081913:dw|
now 309-50

- anonymous

259

- UsukiDoll

yes so we have |dw:1436834124013:dw|
so we have an improper fraction, we need a mix fraction since your choices want it in that format.

- UsukiDoll

ok... we just need to use division like this |dw:1436834175546:dw|

- UsukiDoll

so how many times can 25 go into 25 ?
or in other words what's 25 divided by 25
25/25 = ?

- anonymous

1

- UsukiDoll

|dw:1436834232064:dw| yes and since 25 can't go into 9 we are done
We just have to write this as a mixed fraction

- UsukiDoll

|dw:1436834264657:dw|

- anonymous

10 9/25

- UsukiDoll

so the 10 on the top is written first
followed by the 9 on the numerator
and 25 on the denominator
we should have
10 9/25 yes!

- anonymous

XD thank you soooo much. Your just wonderful thanks for helping me understand. (:

- UsukiDoll

you're welcome :)

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