-27^-4/3 simplify the expression

Question

simplify the expression 

 

-27^-4/3

Answer 1

The negative sign is not enclosed in parenthesis so you can separate as multiplying by (-1)

 

-27^-4/3 = (-1)*(27^-4/3)

 

A negative exponent gives the reciprocal of the positive. (example: x^-2 = 1/x² )

 

(-1)*(27^-4/3) = -1/27^4/3

 

The exponent, 4/3 can be split into (1/3)*4 ; where an exponent of 1/3 = cube root

 

-1/27^4/3 = -1/(27^1/3)⁴

 

-1/(27^1/3)⁴ = -1/(³√27)⁴

 

-1/(³√27)⁴ = -1/(3)⁴

 

-1/(3)⁴ = -1/81