exponents

[J N]

from veritas (problem 56 book 4 pg 189)

making a silly mistake somewhere

if 5 * (125)^(1/3) = 1 / (5^(1/x)) then x=?

5*5*5^(1/x) = 1

5^(1+1+(1/x)) =1

2 +(1/x) = 0

x= -1/2



answer is -4

[mkdureja]

from veritas (problem 56 book 4 pg 189)

making a silly mistake somewhere

if 5 * (125)^(1/3) = 1 / (5^(1/x)) then x=?

5*5*5^(1/x) = 1

5^(1+1+(1/x)) =1

2 +(1/x) = 0

x= -1/2



answer is -4

-1/2 is correct

[ygdrasil24]

-1/2 seems alright.