I WILL MEDAL AND FAN
Compare and Contrast: Below are two expressions. Simplify each and then choose the statement that is true.
Expression #1
Compare and Contrast: Below are two expressions. Simplify each and then choose the statement that is true.
The exponents in Expression #1 are greater than the exponents of Expression #2.
The exponents on Expression #2 are greater than the exponents of Expression #1.
The exponents of Expression #1 are the same as the exponents of Expression #2.
The relationship cannot be determined with the given information.
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OpenStudy (anonymous):
Ill give you the expression
OpenStudy (anonymous):
Expression #1(3d)3(d) Expression #2 (3d2)2
OpenStudy (anonymous):
@Helpmeplease99
OpenStudy (anonymous):
@johnweldon1993
OpenStudy (anonymous):
@Ell
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OpenStudy (ell):
I'm really sorry, im not the best in math. Hope you find the right help though! God bless! :)
OpenStudy (anonymous):
:) its ok thank you you too
OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (anonymous):
@countonme123
OpenStudy (anonymous):
Aww thanks ell
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OpenStudy (ell):
np:)
Hey, @timo86m might be able to help:)
OpenStudy (anonymous):
Thank you :))
OpenStudy (ell):
np:)
OpenStudy (unklerhaukus):
i dont understand the notation you have used @HelloGoodmorning
OpenStudy (anonymous):
notation do you mean the exponents?
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OpenStudy (unklerhaukus):
are these the expressions?
Expression #1 \((3d)^3(d)\)
Expression #2 \((3d^2)^2\)
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
can you simplify the first expression?
( use \((ab)^n=a^nb^n\) )
OpenStudy (anonymous):
is the b turning into a one like 3*1^3=3^3*1^3
which equals 18*1=18
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OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
\[(3d)^3(d)=3^3d^3\times d=\]
OpenStudy (unklerhaukus):
\[3^3=3\times3\times3=\]
OpenStudy (anonymous):
27
OpenStudy (unklerhaukus):
right so
\[(3d)^3(d)=27d^3\times d=\]
___
now simplify the d's
use \(a=a^1\)
and \(a^n\times a^m=a^{n+m}\)
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OpenStudy (anonymous):
? confused @UnkleRhaukus
OpenStudy (unklerhaukus):
well in you case a=d , n=3 and m=1
OpenStudy (anonymous):
Im really confused for solving it
OpenStudy (unklerhaukus):
i am not sure where you are confused?
OpenStudy (anonymous):
Im confused because you've asked me to simplify the d
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OpenStudy (unklerhaukus):
what is \(d^3\times d=(d\times d\times d)\times d=?\)
OpenStudy (anonymous):
d^4
OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
ok so what do you get for the most simplified form of expression #1?
OpenStudy (anonymous):
27^4
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OpenStudy (anonymous):
But the question is only asking for which one has more exponents You dont have to solve
OpenStudy (unklerhaukus):
i hope you mean 27d^4
now simplify the second expression
(it is much easier to compare the expression when that are as simplified as possible )
OpenStudy (anonymous):
Okay the second one is 3d^4
OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
nearly, try that one again
\[(3d^2)^2=3^2d^{2\times2}=\]
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OpenStudy (anonymous):
ok so that equals 3d^12 or 3d^27
OpenStudy (unklerhaukus):
3^2=?
OpenStudy (anonymous):
3*3=9
OpenStudy (unklerhaukus):
right
OpenStudy (anonymous):
so the second answer has more exponents??
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OpenStudy (unklerhaukus):
what was you final simplified form of expression#2 ?
OpenStudy (anonymous):
3d^27
OpenStudy (unklerhaukus):
nope
OpenStudy (anonymous):
hmm
OpenStudy (anonymous):
How come i thought i was supposed to do 3*3*3
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