Evaluate: [(128)^(-2/7) ] - [ {625 ^(-2)} ^ (-1/4) ]
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Answer:
by using simple mathematics
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}
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Answer:
99/4
Step-by-step explanation:
128 = 2^7
625 = 25²
(2^7)^-2/7 - [(25²)^-2]^-1/4
2^(7×-2/7) - 25^(-4×-1/4)
2^(-2) - 25^(1)
1/4 - 25
99/4
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