Question

*6⁴ ÷ 6² =* 1️⃣ 6² 2️⃣ 6⁶ 3️⃣ 24 4️⃣ 2⁶​

Answer 1

6⁴ ÷6²=*1️⃣ 6² 2️⃣ 6⁶3️⃣ 244️⃣ 2⁶

(I want answer this question )

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

6⁴ ÷ 6² =

1️⃣ 6²

2️⃣ 6⁶

3️⃣ 24

4️⃣ 2⁶

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that :

‌$\sf{1. \: \: {a}^{m} \times {a}^{n} = {a}^{m + n} }$

‌$\displaystyle \sf{2. \: \: \: \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

‌$\displaystyle \sf{3. \: \: \: { ({a}^{m} )}^{n} = {a}^{mn} }$

‌$\displaystyle \sf{4. \: \: {a}^{0} = 1}$

EVALUATION

Here the given expression = 6⁴ ÷ 6²

Now

6⁴ ÷ 6²

$\displaystyle \sf{ = \frac{ {6}^{4} }{ {6}^{2} } }$

$\displaystyle \sf{ = {6}^{4 - 2} }$

$\displaystyle \sf{ = {6}^{2} }$

FINAL ANSWER

Hence the correct option is 1️⃣ 6²

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