Question

Simplify( 10 ⁹⁹ + 10 ⁹⁸ ) ÷ 10 ⁹⁷​

Answer 1

$= (10 {}^{99} + 10 {}^{ 98} ) \div 10 {}^{97} \\ = (10 {}^{99 + 98} ) \div 10 {}^{97} \\ = 10 {}^{197} \div 10 {}^{97} \\ = 10 {}^{(197 - 97)} \\ = 10 {}^{100}$

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Answer 2

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$= ( {10}^{99} + {10}^{98} ) \div {10}^{97}$

$= ( {10}^{99} + {}^{98} ) \div {10}^{97}$

$= {10}^{197} \div {10}^{97}$

${10}^({197 - 97} )$

$= {10}^{100}$

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