Question

10. Find the value of
(3√27/125) power - 2
using fractional index.
​

Answer 1

Answer:

$(\frac{15625}{243} )$

Step-by-step explanation:

$(\frac{3\sqrt{27} }{125})^{-2$

$=(\frac{125}{3\sqrt{27 }})^2$ $($∵ $(\frac{a}{b})^{-2}=(\frac{b}{a})^2)$

⇒ $(\frac{15625}{9(27)} )$

⇒ $(\frac{15625}{243} )$

∴ $(\frac{3\sqrt{27} }{125})^{-2}=(\frac{15625}{243} )$