For a non-zero rational number a,
Question:

For a non-zero rational number aa7 ÷ a12 is equal to

(a) a5

(b) a−19

(c) a−5

(d) a19

Solution:

(c) a−5

$a^{m} \div a^{n}=a^{m-n}$

Hence,

$a^{7} \div a^{12}=a^{7-12}=a^{-5}$

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