Question

$$\left. \begin{array} { l } { : 0.3 \times 0.04 \times 0.003 \times 1400 } \\ { : 0.3 \times 0.04 \times 0.003 \times 400 } \\ { 0.0144 } \\ { 0.144 } \\ { \text { ( \right.$$

Answer

$$(8.916100448256*Ev*e*a^3*l*u*t*b*c*d)/10^13$$

Solution


Take out the constants.
\[(3\times 0.04\times 0.003\times 400\times 0.3\times 0.04\times 0.003\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcdEve\]
Simplify  \(3\times 0.04\)  to  \(0.12\).
\[(0.12\times 0.003\times 400\times 0.3\times 0.04\times 0.003\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcdEve\]
Simplify  \(0.12\times 0.003\)  to  \(0.00036\).
\[(0.00036\times 400\times 0.3\times 0.04\times 0.003\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcdEve\]
Simplify  \(0.00036\times 400\)  to  \(0.144\).
\[(0.144\times 0.3\times 0.04\times 0.003\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcdEve\]
Simplify  \(0.144\times 0.3\)  to  \(0.0432\).
\[(0.0432\times 0.04\times 0.003\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcdEve\]
Simplify  \(0.0432\times 0.04\)  to  \(0.001728\).
\[(0.001728\times 0.003\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcdEve\]
Simplify  \(0.001728\times 0.003\)  to  \(5.184\times {10}^{-6}\).
\[5.184\times {10}^{-6}\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144aaalutbcdEve\]
Take out the constants.
\[(5.184\times 400\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcd\times {10}^{-6}Eve\]
Simplify  \(5.184\times 400\)  to  \(2073.6\).
\[(2073.6\times 0.0144\times 0.00144\times 0.144\times 0.000144)aaalutbcd\times {10}^{-6}Eve\]
Simplify  \(2073.6\times 0.0144\)  to  \(29.85984\).
\[(29.85984\times 0.00144\times 0.144\times 0.000144)aaalutbcd\times {10}^{-6}Eve\]
Simplify  \(29.85984\times 0.00144\)  to  \(0.042998\).
\[(0.042998\times 0.144\times 0.000144)aaalutbcd\times {10}^{-6}Eve\]
Simplify  \(0.042998\times 0.144\)  to  \(0.006192\).
\[(0.006192\times 0.000144)aaalutbcd\times {10}^{-6}Eve\]
Simplify  \(0.006192\times 0.000144\)  to  \(8.916100\times {10}^{-7}\).
\[8.916100\times {10}^{-7}aaalutbcd\times {10}^{-6}Eve\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[8.916100\times {10}^{-7}aaalutbcd\times \frac{1}{{10}^{6}}Eve\]
Simplify  \({10}^{6}\)  to  \(1000000\).
\[8.916100\times {10}^{-7}aaalutbcd\times \frac{1}{1000000}Eve\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{8.916100\times {10}^{-7}aaalutbcd\times 1\times Eve}{1000000}\]
Regroup terms.
\[\frac{8.916100aaalutbcd\times {10}^{-7}Eve}{1000000}\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[\frac{8.916100aaalutbcd\times \frac{1}{{10}^{7}}Eve}{1000000}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\frac{8.916100aaalutbcd\times 1\times Eve}{{10}^{7}}}{1000000}\]
Regroup terms.
\[\frac{\frac{8.916100aaalutbcdEve}{{10}^{7}}}{1000000}\]
Simplify  \(8.916100aaalutbcdEve\)  to  \((8.916100){a}^{3}lutbcdEve\).
\[\frac{\frac{8.916100{a}^{3}lutbcdEve}{{10}^{7}}}{1000000}\]
Regroup terms.
\[\frac{\frac{8.916100Eve{a}^{3}lutbcd}{{10}^{7}}}{1000000}\]
Simplify.
\[\frac{8.916100Eve{a}^{3}lutbcd}{{10}^{7}\times 1000000}\]
Simplify.
\[\frac{8.916100\times {10}^{-6}Eve{a}^{3}lutbcd}{{10}^{7}}\]
Simplify.
\[\frac{8.916100Eve{a}^{3}lutbcd}{{10}^{13}}\]