Question

am÷ an is equal to (a) am-n (b) am+n (c) amn (d) an-m
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Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

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

$\sf{(a) \: \: {a}^{m - n} }$

$\sf{(b) \: \: {a}^{m + n} }$

$\sf{(c) \: \: {a}^{m n} }$

$\sf{(d) \: \: {a}^{n - m} }$

EVALUATION

$\sf{ {a}^{m } \div {a}^{n} }$

$\displaystyle \sf{ = \frac{ {a}^{m} }{ {a}^{n} } }$

$\displaystyle \sf{ = \frac{ a \times a \times a \: .... \: m \: times}{a \times a \times a \: .... \: n \: times} }$

$\displaystyle \sf{ = a \times a \times a \: .... \: (m - n) \: times }$

$\displaystyle \sf{ = {a}^{m - n} }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{ (a) \: \: \: {a}^{m - n} }$

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Answer 2

Step-by-step explanation:

(a) is the answer for sure