Math, asked by mohamedapsal, 4 months ago

can you pls tell me why there is 1​

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Answered by Anonymous
3

\huge\bold{{\pink{Q}}{\blue{U}}{\green{E}}{\red{S}}{\purple{T}}{\orange{I}}{\pink{O}}{\blue{N}}{\green{❥}}}

\blue{({\red{5^0}}+6^{-1})\times3^2}

\blue{=({\red{1}}+\frac{1}{6} )\times9}

\blue{=\frac{6+1}{6} \times9}

\blue{=\frac{7}{6} \times9}

\blue{=\frac{7}{2} \times3}

\blue{=\frac{21}{3}}

\blue{=10.5}

Why \red{5^0} is \red{1}?

\huge\bold{{\pink{T}}{\blue{O}}{\green{  }}{\red{F}}{\purple{I}}{\orange{N}}{\pink{D}}{\green{❥}}}

Why \red{5^0} is \red{1}?

\huge\bold{{\pink{S}}{\blue{O}}{\green{L}}{\red{U}}{\purple{T}}{\orange{I}}{\pink{O}}{\blue{N}}{\green{❥}}}

Let us take a number \red{a}.

\large\blue{\boxed{\pink{{a}^{0}=1}}}

Here, we have to find why \red{5^0=1}.

We can take \red{5^0} as \red{5^{(1-1)}}.

We know that:

\green{\boxed{\purple{{\frac{a^b}{a^c}} =a^{(b-c)}}}}

Here, we have to take \red{a=5}, \red{b=1} and \red{c=1}.

So,

\red{\frac{5^1}{5^1} =5^{(1-1)}=5^0}  ......(i)

But, \red{5^1=5}

And, \red{\frac{5^1}{5^1} =\frac{5}{5} =1}  ......(ii)

From, (i) and (ii), we can say:

\red{5^0=1}

\huge\bold{{\pink{H}}{\blue{E}}{\green{N}}{\red{C}}{\purple{E}}{\green{❥}}}

\red{5^0} is equal to \red{1}.

\huge\bold{{\pink{T}}{\blue{H}}{\green{E}}{\red{R}}{\purple{E}}{\orange{F}}{\pink{O}}{\blue{R}}{\red{E}}{\green{❥}}}

Since \red{5^0=1}, \red{1} is used there.

\huge\bold{{\pink{D}}{\blue{O}}{\green{N}}{\red{E}}{\purple{࿐}}}

\bold\red{<strong>------------------</strong>}

\huge\bold{{\pink{K}}{\blue{N}}{\green{O}}{\red{W}}{\purple{  }}{\orange{M}}{\pink{O}}{\blue{R}}{\red{E}}{\green{❥}}}

\bold\orange{Exponential  laws-}

For the integers a, b, m and n,

  • \blue{\boxed{\pink{{a^m}\times{a^n}=a^{(m+n)}}}}

  • \blue{\boxed{\pink{{a^m}\div{a^n}=a^{(m-n)}}}}

  • \blue{\boxed{\pink{(a^{m})^n=a^{mn}}}}

  • \blue{\boxed{\pink{(\frac{a}{b} )^m=\frac{a^m}{b^m}}}}

  • \blue{\boxed{\pink{a^0=1}}}

\bold\red{\boxed{{\blue{✿}}{\pink{H}}{\blue{O}}{\green{P}}{\red{E}}{\purple{  }}{\orange{T}}{\pink{H}}{\blue{I}}{\green{S}}{\red{  }}{\purple{H}}{\orange{E}}{\pink{L}}{\blue{P}}{\green{S}}{\red{  }}{\purple{Y}}{\orange{O}}{\pink{U}}{\blue{✿}}}}

Answered by ranjzshirlz2021
0

Answer:

hi actually I am also a great fan of Vijay

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