Question

Solve for $x$:

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

• A. 3
• B. 2
• C. 4
• D. None of the above

Answer 1

The correct option is B 2

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

$\Rightarrow (3^4{)}^{\frac{3}{4}}-(\frac{1}{2^5}{)}^{-\frac{2}{5}}+x(\frac{1}{2}{)}^{-1}.2^0=3^3$

$\Rightarrow \left(3^3\right)-\frac{1}{2^{(}-2)}+2x=3^3$

$\Rightarrow -4+2x=0$

$\Rightarrow 2x=4$

$\Rightarrow x=2$