jshori399
jshori399 jshori399
  • 06-03-2018
  • Mathematics
contestada

Which expression is equivalent to (2mn)^4/6m^-4n^-2? Assume m=/0 n=/0.

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hisroyal1
hisroyal1 hisroyal1
  • 06-03-2018
Answer = 8m⁸ n⁶/3

EXPLANATION

(2mn)^4/6m^-4n^-2

⇒(2mn)⁴/6m⁻⁴n⁻²

= 2
⁴ · m⁴ · n⁴ / 6 · m⁻⁴ · n⁻²

= [tex] \frac{2 ^{4} }{6} [/tex] · m⁴⁻⁽⁻⁴⁾ · n⁴⁻⁽⁻²⁾

= [tex] \frac{16}{6} [/tex] · m⁴⁺⁴ · n⁴⁺²

= [tex] \frac{8}{3} [/tex] · m⁸ · n⁶

= 8m⁸ n⁶/3
Same as (8m^8n^6)/3
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