Solve {49}^frac{3{2}}+{49}^-frac{3{2}}

$${ 49 }^{ \frac{ 3 }{ 2 } } + { 49 }^{ - \frac{ 3 }{ 2 } }$$

Evaluate

$$\frac{117650}{343}\approx 343.002915452$$

Solution Steps

Calculate 49 to the power of \frac{3}{2} and get 343.

$$343+49^{-\frac{3}{2}}$$

Calculate 49 to the power of -\frac{3}{2} and get \frac{1}{343}.

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

Add 343 and \frac{1}{343} to get \frac{117650}{343}.

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

Factor

$$\frac{2 \cdot 5 ^ {2} \cdot 13 \cdot 181}{7 ^ {3}} = 343\frac{1}{343} = 343.00291545189503$$