Question 48: Compare / |-2|300 and |-3|200
We have:\(\begin{array}{l} {\left| { – 2} \right|^{300}}{\rm{ }} = {\rm{ }}2{{\rm{ }}^{300 }}{\rm{ }} = {\rm{ }}\left( {23{\rm{ }}} \right){{\rm{ }}^{100}}{\rm{ }} = { \rm{ }}{8^{100}}\\ {\left| { – 3} \right|^{200}}{\rm{ }} = {\rm{ }}{3^{200}} {\rm{ }} = {\rm{ }}\left( {{3^{2{\rm{ }}}}} \right){{\rm{ }}^{100}}{\rm{ }} = {\rm{ }}{9^{100}} \end{array}\)
Since 8 < 9 so 8100 < 9100 deduce |-2|300 < |-3|200
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