Question

simplify : (128)^-2/7 - [(625)^-3]^-1/4+14[2401]^-1/4​

Answer 1

Answer:

128^{-2/7} - (625^{-3})^{-1/4} + 14(2401)^{-1/4}

= (2^7)^{-2/7} - (5^4)^{3/4} + 14(7^4)^{-1/4}

=  (2)^{-2} - (5^3) + 14(7)^{-1}

= \frac{1}{2^2} - 5^3+ \frac{14}{7}

= \frac{1}{4} - 125+ 2

= \frac{1}{4} - 123

=  \frac{1 - 492}{4}

= \frac{- 491}{4}