Question

Evaluate : ${27}^{\frac{2}{3}}+(\frac{81}{16}{)}^{\frac{-1}{4}}$

• A. 1.41919x1012 m
• B. $10\frac{2}{3}$
• C. $10$
• D. $11\frac{1}{3}$

Answer 1

The correct option is A 1.41919x1012 m

Given : ${27}^{\frac{2}{3}}+(\frac{81}{16}{)}^{\frac{-1}{4}}$

$\Rightarrow$ $(3^3{)}^{\frac{2}{3}}+((\frac{3}{2}{)}^4{)}^{\frac{-1}{4}}$

$\Rightarrow$ $3^2+(\frac{3}{2}{)}^{-1}$

$\Rightarrow$ $9+\frac{2}{3}$

$\Rightarrow$ $\frac{29}{3}$

$\Rightarrow$ $9\frac{2}{3}$