Question

Simplify :- (8/125)^-1/3​

Answer 1

Answer:

( 8/125 )^ -1/3

we know the identity that

• -a = 1/a
• -1/a = a

so

• ( 8/125 )^ 3
• ([ 2/5 ]^3)^3

and we also that

• [(a)^n]^n = n×n

it means that the power will multiply

so

• ( 2/5 )^ 3×3
• ( 2/5 )^ 9

HENCE THE ANSWER IS ( 2/5 )^9

Answer 2

(8/125)^-1/3

=>(2^3/5^3)^-1/3

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

As to make it as positive integer we must reverse it.Then, => 5/2