Happystrongskyline
Happystrongskyline Happystrongskyline
  • 20-09-2021
  • Mathematics
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HELP PLEASE FAST EXTRA POINTS

Show that (16^1/4)^3 and (16^3)^1/4 are equivalent

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Аноним Аноним
  • 20-09-2021

Step-by-step explanation:

[tex]LHS : [/tex]

[tex] { ({16}^{ \frac{1}{4} } )}^{3} [/tex]

[tex] = { (\sqrt[4]{16}) }^{3} [/tex]

[tex] = {2}^{3} [/tex]

[tex] = 8[/tex]

[tex]RHS : [/tex]

[tex] { ({16}^{3} )}^{ \frac{1}{4} } [/tex]

[tex] = {4096}^{ \frac{1}{4} } [/tex]

[tex] = \sqrt[4]{4096} [/tex]

[tex] = 8[/tex]

LHS = RHS

HENCE VERIFIED

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