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you are watching: Which of the following is equal to 6^14/(2^5)(3^7) ?

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which of the following is equal to 6^14/(2^5)(3^7) ? [#permalink]   19 may 2019, 22:41

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which of the following is equal to $$\frac6^142^53^7$$ ?

a. (2^2)(3^2)
b. (2^7)(3^7)
c. (2^9)(3^2)
d. (2^9)(3^7)
e. (2^9)(3^9)

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re: which of the following is equal to 6^14/(2^5)(3^7) ? [#permalink]   19 may 2019, 22:59

bunuel wrote:

which of the following is equal to $$\frac6^142^53^7$$ ?

a. (2^2)(3^2)
b. (2^7)(3^7)
c. (2^9)(3^2)
d. (2^9)(3^7)
e. (2^9)(3^9)

prime factorization of 6=2*3

so, $$\frac6^142^53^7$$=$$\frac2^14*3^142^5*3^7$$=$$2^9*3^7$$

ans. (d)

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re: which of the following is equal to 6^14/(2^5)(3^7) ? [#permalink]

19 may 2019, 22:59

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