Question

*(6)⁻² can also be written as:* 1️⃣ 1/36 2️⃣ -36 3️⃣ √6 4️⃣ 2⁻⁶​

Answer 1

Answer:

answer as follows in the picture

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

(6)⁻² can also be written as:

1. 1/36

2. -36

3. √6

4. 2⁻⁶

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 is

$\sf{ {6}^{ - 2} }$

We simplify it as below

$\sf{ {6}^{ - 2} }$

$= \sf \: \dfrac{1}{ {6}^{2} }$

$= \sf \: \dfrac{1}{36}$

FINAL ANSWER

Hence the correct option is

$\sf 1. \: \: \: \: \dfrac{1}{36}$

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