Question

$$\frac{ 3 \times 9.8 }{ 4 \times 3.14 \times (6.37 \times { 10 }^{ 6 } ) \times (6.67 \times { 10 }^{ -11) } }$$

Answer

$$29.4/(533.648024*10^-5)$$

Solution


Simplify  \(3\times 9.8\)  to  \(29.4\).
\[\frac{29.4}{4\times 3.14\times 6.37\times {10}^{6}\times 6.67\times {10}^{-11}}\]
Simplify  \(4\times 3.14\)  to  \(12.56\).
\[\frac{29.4}{12.56\times 6.37\times {10}^{6}\times 6.67\times {10}^{-11}}\]
Simplify  \(12.56\times 6.37\)  to  \(80.0072\).
\[\frac{29.4}{80.0072\times {10}^{6}\times 6.67\times {10}^{-11}}\]
Simplify  \(80.0072\times {10}^{6}\times 6.67\times {10}^{-11}\)  to  \((533.648024)\times {10}^{6}\times {10}^{-11}\).
\[\frac{29.4}{533.648024\times {10}^{6}\times {10}^{-11}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{29.4}{533.648024\times {10}^{-5}}\]

Decimal Form: 5509.249295