Mam , when we will multiply (6.023 * 10^23) * (1.382 * 10^-23), 10^23 and 10^-23 will turn into 10^0 ?

Dear Student,

Please find below the solution to the asked query:

We have : ( 6.023 $\times$ 10²³ ) $\times$ ( 1.382 $\times$ 10^{- 23} ) , So

$\Rightarrow$6.023 $\times$  1.382 $\times$ 10²³ $\times$ 10^{- 23}

$\Rightarrow$8.323786 $\times$ 10^{23+ ( - 23 )}                                          ( We know a^m $\times$ aⁿ  =  a^{m + n}  )

$\Rightarrow$8.323786 $\times$ 10^{23 - 23} 

$\Rightarrow$8.323786 $\times$ 10⁰

$\Rightarrow$8.323786 $\times$ 1                                                          ( We know ( Anything )⁰ = 1 )

$\Rightarrow$8.323786                                                                 ( Ans )

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