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Write 32 in the form 4^b

Evaluate 49^ x 3^-2 Answer as fraction

Express 32^-(3/5) as a fraction

Guest Sep 22, 2016

edited by Guest Sep 22, 2016
edited by Guest Sep 22, 2016

geno3141 · Answer 1 · 2016-09-22T08:48:54

1) Write 32 as 4^b:

32 = 4 x 4 x 2 2 = 4^1/2

= 4¹ x 4¹ x 4^1/2 = 4^{1 + 1 + 1/2} = 4^2½ = 4^5/2

2) I don't understand "49 ^ x 3 ^ -2".

3) 32 ^ (-3/5)

32 ^ (1/5) = 2 ---> 32 ^ (3/5) = [ 32 ^ (1/5) ] ^ 3 = 2 ^ 3 = 8

---> 32 ^ (-3/5) = [ 32 ^ (3/5) ] ^ -1 = 8 ^ -1 = 1/8