How do you evaluate $(5.7 \times 10^{4}) (3.1 \times 10^{6})$ $(5.7\times 10^ { 4} ) ( 3.1\times 10^ { 6} )$ ?

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Answer 1 · 2017-10-15T15:57:23

$1.767 \times 10^{11}$ $1.767xx10^11$

Open the brackets.
$= 5.7 \times 3.1 \times 10^{4} \times 10^{6}$ $=5.7xx3.1xx10^4xx10^6$
Evaluate $10^{4} \times 10^{6}$ $10^4xx10^6$ using the property $a^{b} + a^{c} = a^{b + c}$ $a^b+a^c=a^(b+c)$
$= 5.7 \times 3.1 \times 10^{4 + 6}$ $=5.7xx3.1xx10^(4+6)$
$= 5.7 \times 3.1 \times 10^{10}$ $=5.7xx3.1xx10^10$
Multiply the others
$5.7 \times 3.1 \times 10^{10}$ $5.7xx3.1xx10^10$
$= 17.67 \times 10^{10}$ $=17.67xx10^10$
$= 1.767 \times 10^{11}$ $=1.767xx10^11$

How do you evaluate (5.7×104)(3.1×106)(5.7\times 10^ { 4} ) ( 3.1\times 10^ { 6} )?