How do you multiply $(5.3 \times 10^{- 5}) (4 \times 10^{2})$ $(5.3\times 10^ { - 5} ) ( 4\times 10^ { 2} )$ ?

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Answer 1 · 2017-07-29T17:35:56

$(5.3 \times 10^{- 5}) (4 \times 10^{2}) = 2.12 \times 10^{- 2}$ $(5.3xx10^(-5))(4xx10^2)=2.12xx10^(-2)$

$(5.3 \times 10^{- 5}) (4 \times 10^{2})$ $(5.3xx10^(-5))(4xx10^2)$

= $5.3 \times 10^{- 5} \times 4 \times 10^{2}$ $5.3xx10^(-5)xx4xx10^2$

= $5.3 \times 4 \times 10^{- 5} \times 10^{2}$ $5.3xx4xx10^(-5)xx10^2$

= $21.2 \times 10^{- 5 + 2}$ $21.2xx10^(-5+2)$

= $2.12 \times 10 \times 10^{- 3}$ $2.12xx10xx10^(-3)$

= $2.12 \times 10^{1 - 3}$ $2.12xx10^(1-3)$

= $2.12 \times 10^{- 2}$ $2.12xx10^(-2)$

Note: I have converted $21.2$ $21.2$ to $2.12 \times 10$ $2.12xx10$ as I believe answer too is desired in scientific notation.

How do you multiply (5.3×10−5)(4×102)(5.3\times 10^ { - 5} ) ( 4\times 10^ { 2} )?