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

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

Mathematics
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2 + 4 × 3 − 2 2+12-2 14-2 =12 (3/5)^12 =
the answer would be?

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12?
\[\left(\frac{3}{5}\right)^{12}=\frac{3^{12}}{5^{12}}\quad \left(\mathrm{Decimal:\quad }\:0.00218\right)\]
12 9/25?
this is new qustion..
i mean whats the answer to the question
12*9/25 .. you need answer for this question
whats the answer to the first question
what is the question .. tell me again
3 over 5 to the power of 2 + 4 × 3 − 2
first solve this one.. 2 + 4 × 3 − 2
12
gud then 3/5 to the power of 12 then solve
mean.. 12^(3/5) ok
9.6?
whats the answer?
\[12^{\frac{3}{5}}=4.44129\] that is the answer
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
I need the answer to the whole question.. i dont have time t6o solve it out.
*to
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ik but solving it is making me even more confused ik the rules
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 ???
wouldn't the problem be something like this? \[(\frac{3}{5})^2+4 \times 3 - 2\]
I do apologize the latex isn't working correctly... |dw:1436833508036:dw| is that your question @KAKES1967
yes
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.
so that exponent number 2 means that we write the fraction 3/5 twice |dw:1436833605156:dw| try solve that part first
so 1.2
umm it's best to work with fractions...decimals can be a pain sometimes
what's 3 x 3 what's 5 x 5
|dw:1436833698945:dw| we're trying to solve this part first because we have paraenthesis and exponents
9 and 25
cool! |dw:1436833730367:dw|
so we got PE out of the way... MDAS is still lurking ... oh I see multiplication what's 4 x 3 ?
9/25 plus 12-2
right?
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 ^_^)
2.36?
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.
oh i thought it was 2 sorry
12.36
so we need to multiply 25/25 to the 12. |dw:1436833931892:dw| WOW! that's correct for that part.
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|
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|
so what's 2 x 25?
50
mhm! |dw:1436834081913:dw| now 309-50
259
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.
ok... we just need to use division like this |dw:1436834175546:dw|
so how many times can 25 go into 25 ? or in other words what's 25 divided by 25 25/25 = ?
1
|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
|dw:1436834264657:dw|
10 9/25
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!
XD thank you soooo much. Your just wonderful thanks for helping me understand. (:
you're welcome :)

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