answer choices
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.
jimthompson5910 (jim_thompson5910):
what do you get when you simplify (3x^2)3x^2
OpenStudy (anonymous):
I have no clue
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jimthompson5910 (jim_thompson5910):
3*3 = ??
OpenStudy (anonymous):
9
jimthompson5910 (jim_thompson5910):
x^2 times x^2 = ???
OpenStudy (anonymous):
4
jimthompson5910 (jim_thompson5910):
not just 4
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OpenStudy (anonymous):
???
jimthompson5910 (jim_thompson5910):
x^2 times x^2 is not 4
jimthompson5910 (jim_thompson5910):
but 4 is part of it
OpenStudy (anonymous):
x^4 ?
jimthompson5910 (jim_thompson5910):
good
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jimthompson5910 (jim_thompson5910):
so (3x^2)3x^2 simplifies to 9x^4
OpenStudy (anonymous):
Ok but what statement is true ?
jimthompson5910 (jim_thompson5910):
now simplify (3x^3)^2(x^2)
OpenStudy (anonymous):
idk how to do that one
jimthompson5910 (jim_thompson5910):
(3x^3)^2 is the same as (3x^3)(3x^3)
multiply that out first
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OpenStudy (anonymous):
9x^6 ?
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
so
(3x^3)^2(x^2)
becomes
(9x^6)(x^2)
jimthompson5910 (jim_thompson5910):
multiply that out
OpenStudy (anonymous):
18x^8 ?
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jimthompson5910 (jim_thompson5910):
close, but no
OpenStudy (anonymous):
then idk
jimthompson5910 (jim_thompson5910):
(9x^6)(x^2)
is the same as
(9x^6)(1x^2)
which becomes what?
OpenStudy (anonymous):
idk
jimthompson5910 (jim_thompson5910):
what are the coefficients
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OpenStudy (anonymous):
9 ?
jimthompson5910 (jim_thompson5910):
and what else
OpenStudy (anonymous):
1 ?
jimthompson5910 (jim_thompson5910):
multiply them to get ???
OpenStudy (anonymous):
9 ?
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jimthompson5910 (jim_thompson5910):
9 is the final coefficient
jimthompson5910 (jim_thompson5910):
now multiply x^6 and x^2
jimthompson5910 (jim_thompson5910):
you did that and got x^8
so the (9x^6)(x^2) simplifies to 9x^8
jimthompson5910 (jim_thompson5910):
we started with
Expression #1 ---- > (3x^2)3x^2
Expression #2 -----> (3x^3)^2(x^2)
they both simplify to
Expression #1 ---- > 9x^4
Expression #2 -----> 9x^8
jimthompson5910 (jim_thompson5910):
now you just compare the exponents in the simplified expressions
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OpenStudy (anonymous):
so it would be The exponents on Expression #2 are greater than the exponents of Expression #1 ?