Question

Find the value of ${\left({\left(0.6\right)}^0\right)}^0-{\left({\left(4.5\right)}^0\right)}^{-2}$

Answer 1

Consider, ${\left({\left(0.6\right)}^0\right)}^0-{\left({\left(4.5\right)}^0\right)}^{-2}$

$=(0.6{)}^{(0\times 0)}-(4.5{)}^{(0\times (-2\left)\right)}$ ....... [Using product rule of exponents]

$=(0.6{)}^0-(4.5{)}^0$

$=1-1$ ....... $[\because a^0=1\forall a\in R]$

$=0$

Hence, the correct answer is $0$.