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

Question

asked Dec 27, 2022 232k views

1 Answer

Pandora Lee · Answer 1 · 2023-01-03T11:51:22+0000

(-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)