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Mathematics 10 Online
OpenStudy (anonymous):

simplify:(2x^2y^-1)^3??????

OpenStudy (anonymous):

don't understand the format

OpenStudy (anonymous):

(2xsquared2y to the neg. 1) cubed

OpenStudy (anonymous):

its with exponents

OpenStudy (anonymous):

(8x^58y^-1) I believe

OpenStudy (anonymous):

how?

OpenStudy (anonymous):

The whole thing is cubed so you multiply each number 3 times

OpenStudy (anonymous):

Not times 3 though

OpenStudy (anonymous):

how did you get the 8y?

OpenStudy (anonymous):

i understand that 8x b/c 2cubed is 8

OpenStudy (anonymous):

2x2=4.... 4x2=8 (That is 2 cubed)

OpenStudy (anonymous):

yes I know but im talking about the 2nd 8

OpenStudy (anonymous):

You said it was 2y^-1

OpenStudy (anonymous):

the 2 was ment for the x squared

OpenStudy (anonymous):

Oh okay. So it would be (8x^5y^1)

OpenStudy (anonymous):

lol ok now that makes sense thanks!

OpenStudy (anonymous):

No problem :)

OpenStudy (anonymous):

I think you mean \[(2x ^{2}y^{-1})^{3}\] You would apply the cube to all parts inside the parentheses \[2^{3}(x^{2})^{3}(y^{-1})^{3}=8x^{6}y^{-3}\]

OpenStudy (anonymous):

yes excatly! how did u type that in??

OpenStudy (anonymous):

Use the equation editor button below the text box

OpenStudy (anonymous):

btw, the answer lexlovesyouu gave is incorrect. \[(x^{2})^{3}\] does not equal \[x^{5}\] \[x^{5} = x^{2}x^{3}\]

OpenStudy (anonymous):

Good way to remember when to add and when to multiply exponents is to count the variable. For instance: \[x^{2}x^{3}\] has two x's then three x's for a total of 5 x's \[(x^{2})^{3}=x^{2}x^{2}x^{2}\] has two x's then two x's thentwo x's for a total of six x's

OpenStudy (anonymous):

\[8x ^{3/2y}\]

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