Question

((49) ^ (3/2) - (49) ^ (5/2))/(49 ^ (3/2))​

Answer 1

Answer:

${7}^{ - 5}$

Step-by-step explanation:

$\frac{ {49}^{ \frac{3}{2}} - {49}^{ \frac{5}{2} } }{ {49}^{ \frac{3}{2} } }$

$\frac{ {7}^{3} - {7}^{5} }{ {7}^{3} }$

$\frac{ {7}^{3 - 5} }{ {7}^{3} }$

$\frac{ {7}^{ - 2} }{ {7}^{3} }$

${7}^{ - 2 - 3} = {7}^{ - 5} = \frac{1}{ {7}^{5} }$