Question

Simplest form of the Expression ${(x^6.y^{-5/4})}^{-4/3}$ will be-

• A. $x^{-24}y$
• B. $x^{-8}{y}^{5/3}$
• C. $x^8{y}^{-5/3}$
• D. $x^{-8}{y}^{-5/3}$

Answer 1

The correct option is B $x^{-8}{y}^{5/3}$

${(x^6.y^{-5/4})}^{-4/3}$
$=x^{-6\times 4/3}{y}^{\frac{-5}{4}\times -\frac{4}{3}}$
$=x^{-8}{y}^{5/3}$