Question

State true or false:

$(\frac{27}{8}{)}^{\frac{2}{3}}-(\frac{1}{4}{)}^{-2}+5^0=$ $-\frac{51}{4}$

• A. True
• B. False

Answer 1

The correct option is A True

$(\frac{27}{8}{)}^{\frac{2}{3}}-(\frac{1}{4}{)}^{-2}+5^0$
$\Rightarrow \frac{3^{3\cdot \frac{2}{3}}}{2^{3\cdot \frac{2}{3}}}-\frac{1^{-2}}{2^{2\cdot -2}}+1$
$\Rightarrow \frac{3^2}{2^2}-\frac{1^{-2}}{2^{-4}}+1$
$\Rightarrow \frac{9}{4}-2^4+1$
$\Rightarrow \frac{9}{4}-16+1$
$\Rightarrow \frac{9-64+4}{4}$
$\Rightarrow -\frac{51}{4}$