How do you simplify #x^ { \frac { 3} { 5} } = 125#?

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Answer 1 · 2017-03-26T16:57:38

See below.

#x^ { \frac { 3} { 5} } = 125#

This is the same as #root(5){x^ 3} = 125#

#125# can be rewritten as #5^3#.

If we take both sides to the fifth power, the result is:

#x^3=5^15#

So,

#x=5^5=3125#.