Question:12523×625−14=? 125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}} =?12532×6254−1=? A2B1C5D25Answer: C. 5Explanation: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
