Question

7. Simplify the following equation
​

Answer 1

$\huge\tt\purple{♬•Answer:}$

$\tt{(i)}$

$\huge{(\frac{1}{2})}^5 - {(\frac{3}{2})}^3$

$=\huge\frac{1^5}{2^5} -\huge\frac{3^3}{2^3}$

$=\huge\frac{5}{32} -\huge\frac{27}{8}$

$= \huge\frac{5-108}{32 }$

$=\huge\frac{-103}{32}$

$\tt{(ii)}$

$\tt \huge{-3^2 }\:\:x \:\:{(\frac{4}{3})}^3$

$=\tt\huge{9} \:\:x\:\:\frac{4^3}{3^3}$

$=\tt\huge{9} \:\:x\:\:\frac{64}{27}$

$=\tt\huge{\cancel{9}}\:\: x\:\:\frac{64}{\cancel{27}3}$

$=\huge\frac{64}{3}$

$= \huge\tt{21.3}$