Question

Evaluate


`{( - 7)}^{ (5)/(3) } * {( (1)/(56) )}^{ (5)/(3) }`
please explain​

Answer 1

`(-1)/(32)` is a required answer.

Answer:

Solution given:

`{( - 7)}^{ (5)/(3) } * {( (1)/(56) )}^{ (5)/(3) }`

take power common

`((-7*1)/(56))^{(5)/(3)}`

Reduce the fraction

`((-1)/(8))^{(5)/(3)}`

make the1 and 8 in terms power 3

`((-1³)/(2³))^{(5)/(3)}`

take the common power

`((-1)/(2))^{3*(5)/(3)}`

Reduce power

`((-1)/(2))^(5)`

now

distribute power

`(-1^(5))/(2^(5))`

`(-1)/(32)`