Question

square of 10 to the power of -4​

Answer 1

SOLUTION

TO DETERMINE

The square of $\sf{ {10}^{ - 4} }$

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 we have to find the square of

$\sf{ {10}^{ - 4} }$

Now

$\sf{ {({10}^{ - 4} ) }^{2} }$

We now apply the formula 3 as mentioned above

$\sf{ = {10}^{( - 4 \times 2)} }$

$\sf{ = {10}^{ -8} }$

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Answer 2

Answer:

10power-8

Step-by-step explanation:

answer is 10power-8