Question

Find the value of the following:

​$a)\frac{(67.542{)}^2-(32.458{)}^2}{75.458-40.374}$

​$b\left)\right(-3{)}^0-(-3{)}^3-(-3{)}^{-1}+(-3{)}^4-(-3{)}^{-2}$ [4 MARKS]

Answer 1

Application: 2 Marks Each

$a)\frac{(67.542{)}^2-(32.458{)}^2}{75.458-40.374}$

$=\frac{(67.542+32.458)(67.542-32.458)}{75.458-40.374}$

$=\frac{100\times 35.084}{35.084}$

$=100$


​$b\left)\right(-3{)}^0-(-3{)}^3-(-3{)}^{-1}+(-3{)}^4-(-3{)}^{-2}$

$=1+27+\frac{1}{3}+81-\frac{1}{9}$

$=109+\frac{2}{9}$

$=109\frac{2}{9}$