Question 76

Find the value $$((49)^\frac{3}{2}+(49)^\frac{-3}{2})$$

Solution

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Expression = $$((49)^\frac{3}{2}+(49)^\frac{-3}{2})$$

= $$((7^2)^{\frac{3}{2}}+(7^2)^{\frac{-3}{2}})$$

= $$7^3+7^{-3}$$

= $$343+\frac{1}{343}$$

= $$\frac{117650}{343}$$

=> Ans - (D)

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