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Mathematics 13 Online
OpenStudy (anonymous):

8^2 x 8^-5

OpenStudy (unklerhaukus):

\[x^n\times x^m=x^{n+m}\]

OpenStudy (anonymous):

how would I get that into correct simplication? I don't understand

OpenStudy (unklerhaukus):

well x=8 n=2 m=-5

OpenStudy (anonymous):

Oh okay. I understand! Thank you!

OpenStudy (unklerhaukus):

what do you get as a final answer?

OpenStudy (anonymous):

64^7?

OpenStudy (anonymous):

is that correct?

OpenStudy (unklerhaukus):

nope

OpenStudy (anonymous):

ok

OpenStudy (unklerhaukus):

when there is a multiplication of terms with the same base, you have to add the indicies 8^2 x 8^-5 = 8^{2-5} =

OpenStudy (anonymous):

8^3?

OpenStudy (unklerhaukus):

almost

OpenStudy (anonymous):

8^7?

OpenStudy (unklerhaukus):

what is 2 - 5 ?

OpenStudy (anonymous):

-3

OpenStudy (unklerhaukus):

yeah

OpenStudy (anonymous):

okay

OpenStudy (unklerhaukus):

so 8^{2-5} =

OpenStudy (anonymous):

8^-3?

OpenStudy (unklerhaukus):

yes,

OpenStudy (unklerhaukus):

when you have some term with a negative index, say \(A^{-p}\) its the same as \(\dfrac1{A^p}\)

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