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Mathematics 21 Online
OpenStudy (anonymous):

(5x^2/3x^-4)^-1

OpenStudy (anonymous):

the answer is 1/15x^6

OpenStudy (anonymous):

or 15x^-6

jhonyy9 (jhonyy9):

\[3/x ^{4}/5x ^{2}=15x ^{2}/x ^{4}\]

jhonyy9 (jhonyy9):

\[15/x ^{2}\]

OpenStudy (anonymous):

no that's not 15/x^2 look i'll do the steps

OpenStudy (anonymous):

(5x^2/3x^-4)^-1=(5x^2/1/3x^4)^-1

OpenStudy (anonymous):

(5x^2/1/3x^4)^-1=(5x^2*3x^4)^-1

OpenStudy (anonymous):

(5x^2*3x^4)^-1=(15x^6)^-1

jhonyy9 (jhonyy9):

looke it newly there just x on exponent -4 -so 3 not is

jhonyy9 (jhonyy9):

ok ?

jhonyy9 (jhonyy9):

so check it newly

jhonyy9 (jhonyy9):

right ???

OpenStudy (anonymous):

what are you talking about

jhonyy9 (jhonyy9):

check it there is just x on exponent minus 4

jhonyy9 (jhonyy9):

3 not is

OpenStudy (anonymous):

ok, i'll do it again, thanks

jhonyy9 (jhonyy9):

well

OpenStudy (anonymous):

but it's still not 15/x^2

jhonyy9 (jhonyy9):

why ?

OpenStudy (anonymous):

(5x^2/3x^-4)^-1=(5x^2/3/x^4)^-1 (5x^2/3/x^4)^-1=(5x^2*x^4/3)^-1

OpenStudy (anonymous):

(5x^2*x^4/3)^-1=(5x^6/3)^-1=3/5x^6

OpenStudy (anonymous):

ok it's 3x^6/5

OpenStudy (anonymous):

(5x^2/3x^-4)^-1= (5x^2/3/x^4)^-1= (5x^2*x^4/3)^-1= (5x^6/3)^-1= 3/5x^6

OpenStudy (anonymous):

that's my final answer :P

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