Rewrite the expression with a positive rational exponent Sim

Rewrite the expression with a positive rational exponent Simplify. if possible. (27/343)^-1/3 Rewrite the expression. (27/343)^-1/3 = (Use integers or factions for any numbers in the expression. Type experimental notation with positive exponents. Do not simplify.

Solution

[27_/343]^-1/3

=[(343_/27)^-1]^-1/3

=(343_/27)^-1*(-1/3)

=(343_/27)^1/3

=(7³_/3³)^1/3

=((7_/3)³)^1/3

=(7_/3)^3*(1/3)

=(7_/3)¹

=7_/3