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Mathematics 21 Online
OpenStudy (anonymous):

(-mn^8)^2

OpenStudy (anonymous):

(-mn^8)(-mn^8)

OpenStudy (anonymous):

does that help?

OpenStudy (anonymous):

not really

OpenStudy (anonymous):

(-mn^8)(-mn^8) = m^(2)n^(16)

OpenStudy (anonymous):

\[(-n)^2(m^8)^2\] \[n^2m^{16}\]

OpenStudy (anonymous):

you add expoents when multiplying like variables

OpenStudy (anonymous):

(-mn^8)(-mn^8) = mn^16

OpenStudy (anonymous):

and (-)(+) = -, (-)(-) = +, (+)(+) = +

OpenStudy (anonymous):

Exponent 2 on the m, my mad, missed that.

OpenStudy (anonymous):

petewe that is wrong you forgot to multiply m^(1)m^(1) = m^(2)

OpenStudy (anonymous):

Yep.

OpenStudy (anonymous):

yall confusing me

OpenStudy (anonymous):

do you understand that (-mn^8)^2 = (-mn^(8))(-mn^(8))

OpenStudy (anonymous):

x^(2) = (x)(x) x^(3) = (x)(x)(x) (1 + y)^(2) = (1+y)(1+y) (1 + y)^(3) = (1+y)(1+y)(1+y) etc...

OpenStudy (anonymous):

yes understand that but i dont understand how you put themt ogether

OpenStudy (anonymous):

well if we multiply them it just becomes (remember the negatives cancel out) mn^(8)mn^(8

OpenStudy (anonymous):

then you can just add the exponents of like variables

OpenStudy (anonymous):

so m^2n^2 ^16? i dnt understand

OpenStudy (anonymous):

Go step by step. Multiply the m's first. (-m)(-m) = m^2 and (n^8)(n^8) = n^16 Recall your exponent laws. When multiplying exponents of the same base, add the exponents. Does that make it easier?

OpenStudy (anonymous):

somewhat

OpenStudy (anonymous):

Put it together, you get m^2n^16)

OpenStudy (anonymous):

m^(8)m^(8)n^(1)n^(1) for m 8+8 = 16 for n 1 + 1 = 2 thus you have m^(16)n^(2) remember anything can be raised to the power of 1 and is raised to the power of 1 5^(1) = 5 x^(1) = x 6^(1) = 6 etc

OpenStudy (anonymous):

okay i get it now

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