What is the value of #root9 512#?

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Answer 1 · 2018-02-03T05:13:05

#root(9)512=2#

#root(9)512=2#

#root(9)512# means the ninth root of #512#, or, #x^9=512#

In this case, since #2^9=512#, #root(9)512=2#

Answer 2 · 2018-02-03T05:16:19

#x=2#

let #x# = #root(9)512#

so #x^9 = 512#

#2^9=512=x^9#

#x=2#

alternatively, just factorize 512, you'll get 9 2's.

-Sahar

Answer 3 · 2018-02-03T06:07:02

#root(9)(512) = 2#

#root(9)(512) = (512)^(1/9)#

Factorising 512,

#(512)^(1/9) = (2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2)^(1/9)#

# = (2^9)^(1/9) = (2)^ (9 * 1/9) = 2#