Question

Solve for $x$ :

$(81{)}^{\frac{3}{4}}-{\left(\frac{1}{32}\right)}^{\frac{-2}{5}}+x{\left(\frac{1}{2}\right)}^{-1}\cdot 2^0=27$

Answer 1

$(81{)}^{\frac{3}{4}}-{\left(\frac{1}{32}\right)}^{-\frac{2}{5}}+x{\left(\frac{1}{2}\right)}^{-1}.2^0=27$
$=>(3^4{)}^{\frac{3}{4}}-{\left(\frac{1}{2^5}\right)}^{-\frac{2}{5}}+x{\left(\frac{1}{2}\right)}^{-1}.2^0=3^3$
$=>\left(3^3\right)-\frac{1}{2^{-2}}+2x=3^3$
$=>-4+2x=0$
$=>2x=4$
$=>x=2$