The value of 30 is. (a) 0 (b) 3
(c) 1
(d) None of these
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The value of 30 is. (a) (b) 3 (c) 1 (d) None of these
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[tex]\displaystyle \sf{ The \: value \: of \: \: {30}^{0} \: is \bf \: 1}[/tex] [ The correct option is (c) 1 ]
Correct question :
[tex]\displaystyle \sf{ The \: value \: of \: \: {30}^{0} \: is }[/tex]
(a) 0 (b) 3 (c) 1 (d) None of these
Given :
[tex]\displaystyle \sf{ {30}^{0} }[/tex]
To find :
[tex]\displaystyle \sf{ The \: value \: of \: \: {30}^{0} \: is }[/tex]
(a) 0
(b) 3
(c) 1
(d) None of these
Concept :
We are aware of the formula on indices that
[tex] \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} }[/tex]
Solution :
Step 1 of 2 :
Write down the given expression
Here the given expression is [tex]\displaystyle \sf{ {30}^{0} }[/tex]
Step 2 of 2 :
[tex]\displaystyle \sf{ Find \: value \: of \: \: {30}^{0} }[/tex]
We are aware of the formula on indices that
[tex] \sf{ {a}^{m} \times {a}^{n} = {a}^{m + n} }[/tex]
Now take a = 30 , n = 0
So we get from above
[tex] \sf{ {30}^{m} \times {30}^{0} = {30}^{m + 0} }[/tex]
[tex] \sf{ \implies {30}^{m} \times {30}^{0} = {30}^{m } }[/tex]
[tex] \sf{Dividing \: both \: sides \: by \: \: {30}^{m} \: \: we \: get }[/tex]
[tex] \sf{ \implies {30}^{0} = \dfrac{{30}^{m}}{{30}^{m}} }[/tex]
[tex] \sf{ \implies {30}^{0} = 1 }[/tex]
[tex]\displaystyle \sf{ \therefore The \: value \: of \: \: {30}^{0} \: is \bf \: 1}[/tex]
Hence the correct option is (c) 1
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