Question

$$\left. \begin{array} { l l l l l l } { 2406 / 2024 } & { 7 } & { 16 } & { 23 } & { 11 } & { 1 } \\ { 2991062024 } & { 8 } & { 8 } & { 66 } & { 4 } & { 4 } & { 1 } \\ { 2991062024 } & { 9 } & { 8 } & { 0 } & { \right.$$

Answer

$$9.6280352784408*10^-5*t*o$$

Solution


Simplify  \(\frac{24}{6}\)  to  \(4\).
\[7\times \frac{4}{202416231118}to\times \frac{\frac{8456626646443471866529}{06}}{2024980899050457}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{7\times 4to\times 8456626646443471866529}{202416231118\times 06\times 2024980899050457}\]
Simplify  \(7\times 4to\times 8456626646443471866529\)  to  \((2.367855\times {10}^{23})to\).
\[\frac{2.367855\times {10}^{23}to}{202416231118\times 06\times 2024980899050457}\]
Simplify  \(202416231118\times 06\)  to  \(1.214497\times {10}^{12}\).
\[\frac{2.367855\times {10}^{23}to}{1.214497\times {10}^{12}\times 2024980899050457}\]
Simplify  \(1.214497\times {10}^{12}\times 2024980899050457\)  to  \((2.459334\times {10}^{15})\times {10}^{12}\).
\[\frac{2.367855\times {10}^{23}to}{2.459334\times {10}^{15}\times {10}^{12}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{2.367855\times {10}^{23}to}{2.459334\times {10}^{27}}\]
Take out the constants.
\[\frac{2.367855}{2.459334}\times \frac{{10}^{23}to}{{10}^{27}}\]
Simplify  \(\frac{2.367855}{2.459334}\)  to  \(0.962804\).
\[0.962804\times \frac{{10}^{23}to}{{10}^{27}}\]
Use Quotient Rule: \(\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}\).
\[0.962804\times {10}^{23-27}to\]
Simplify  \(23-27\)  to  \(-4\).
\[0.962804\times {10}^{-4}to\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[0.962804\times \frac{1}{{10}^{4}}to\]
Simplify  \({10}^{4}\)  to  \(10000\).
\[0.962804\times \frac{1}{10000}to\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{0.962804\times 1\times to}{10000}\]
Simplify  \(0.962804\times 1\times to\)  to  \((0.962804)to\).
\[\frac{0.962804to}{10000}\]
Simplify.
\[9.628035\times {10}^{-5}to\]
Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[9.628035\times \frac{1}{{10}^{5}}to\]
Simplify  \({10}^{5}\)  to  \(100000\).
\[9.628035\times \frac{1}{100000}to\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{9.628035\times 1\times to}{100000}\]
Simplify  \(9.628035\times 1\times to\)  to  \((9.628035)to\).
\[\frac{9.628035to}{100000}\]
Simplify.
\[9.628035\times {10}^{-5}to\]