Question

what is the value of 5⁰=​

Answer 1

Answer:

1 is the correct answer

Step-by-step explanation:

because whose power is zero that means the the value is 1.

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Answer 2

SOLUTION

TO DETERMINE

$\displaystyle \sf{ The \: value \: of \: \: {5}^{0} }$

EVALUATION

We are aware of the formula on indices that

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

Now take a = 5 , n = 0

So we get from above

$\sf{ {5}^{m} \times {5}^{0} = {5}^{m + 0} }$

$\sf{ \implies {5}^{m} \times {5}^{0} = {5}^{m } }$

$\sf{Dividing \: both \: sides \: by \: \: {5}^{m} \: \: we \: get }$

$\sf{ \implies {5}^{0} = \dfrac{{5}^{m}}{{5}^{m}} }$

$\sf{ \implies {5}^{0} = 1 }$

FINAL ANSWER

$\sf{ {5}^{0} = 1}$

Additional Information :

Formula on Indices :

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

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

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

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

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