Express in power notation:
  
( i) $729 \times 10000$ (ii) $64 \times 1000$

i) Given: $\ 729\ \times \ 10000$

To find: We have to find the value of $\ 729\ \times \ 10000$

Solution: 

$=\ ( 3\ \times \ 3\ \times \ 3\ \times \ 3\ \times \ 3\ \times \ 3) \ \times \ ( 10\ \times \ 10\ \times \ 10\ \times \ 10)$

$=\ \left( 3^{6}\right) \ \times \ \left( 10^{4}\right)$

$=\ \mathbf{3^{6} \ \times \ 10^{4}} \ \ $

ii) Given: $\ 64\ \times \ 1000$

To find: We have to find the value of $\ 64\ \times \ 1000$

Solution: 

$=\ ( 2\ \times \ 2\ \times \ 2\ \times \ 2\ \times \ 2\ \times \ 2) \ \times \ ( 10\ \times \ 10\ \times \ 10)$

$=\ \left( 2^{6}\right) \ \times \ \left( 10^{3}\right)$

$=\ \mathbf{2^{6} \ \times \ 10^{3}} \ $

Tutorialspoint

Updated on: 10-Oct-2022

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