Question

Verify that[(729)^-5/3]^-1/2=(729)^-5/3×^(-1/2)​

Answer 1

Answer:

LHS = 243 = RHS

Step-by-step explanation:

LHS =

$= {[(729)}^{ \frac{ - 5}{3} } ]^{ \frac{ -1 }{2} } \\ = (729) ^{ \frac{5}{6} } \\ = 729 = {3}^{6} \\ = ( {3}^{6})^{ \frac{5}{6} } \\ = {3}^{5} = 243$

RHS =

$= {(729)}^{ \frac{ - 5}{3} \times \frac{ - 1}{2} } \\ = {(729)}^{ \frac{5}{6} } = {(3}^{6} )^{ \frac{5}{6} } \\ = {3}^{5} = 243$

Hence, LHS = 243 = RHS