Question

Simplify- 128^-2/7 – (625^-3)^-1/4 + 14(2401)^-1/4

Whoever gives the correct answer with detailed method will be marked brainliest.​

Answer 1

Answer:

Step-by-step explanation:

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}