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Question:
12523×625−14=? 125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}} =?12532×6254−1=?
A2
B1
C5
D25
Answer:
12523×625−14 125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}} 12532×6254−1
=(53)2/3×(54)−1/4=(5^3)^{2/3}\times(5^4)^{-1/4}=(53)2/3×(54)−1/4
=52×5−1=5^2\times5^{-1}=52×5−1
=52−1=5^{2-1}=52−1
=5=5=5
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