Solve 1/2*1.67*10^-27kg*(4*10^-1ms^-1)^2

$$\frac { 1 } { 2 } \times 1.67 \times 10 ^ { - 27 } kg \times ( 4 \times 10 ^ { - 1 } ms ^ { - 1 } ) ^ { 2 }$$

Evaluate

$$\frac{167\times \left(\frac{m}{s}\right)^{2}gk}{1250000000000000000000000000000}$$

Solution Steps

Multiply \frac{1}{2} and 1.67 to get \frac{167}{200}.

$$\frac{167}{200}\times 10^{-27}kg\times \left(4\times 10^{-1}ms^{-1}\right)^{2}$$

Calculate 10 to the power of -27 and get \frac{1}{1000000000000000000000000000}.

$$\frac{167}{200}\times \frac{1}{1000000000000000000000000000}kg\times \left(4\times 10^{-1}ms^{-1}\right)^{2}$$

Multiply \frac{167}{200} and \frac{1}{1000000000000000000000000000} to get \frac{167}{200000000000000000000000000000}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(4\times 10^{-1}ms^{-1}\right)^{2}$$

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(4\times \frac{1}{10}ms^{-1}\right)^{2}$$

Multiply 4 and \frac{1}{10} to get \frac{2}{5}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(\frac{2}{5}ms^{-1}\right)^{2}$$

Expand \left(\frac{2}{5}ms^{-1}\right)^{2}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(\frac{2}{5}\right)^{2}m^{2}\left(s^{-1}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply -1 and 2 to get -2.

$$\frac{167}{200000000000000000000000000000}kg\times \left(\frac{2}{5}\right)^{2}m^{2}s^{-2}$$

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{167}{200000000000000000000000000000}kg\times \frac{4}{25}m^{2}s^{-2}$$

Multiply \frac{167}{200000000000000000000000000000} and \frac{4}{25} to get \frac{167}{1250000000000000000000000000000}.

$$\frac{167}{1250000000000000000000000000000}kgm^{2}s^{-2}$$

Expand

$$\frac{167\times \left(\frac{m}{s}\right)^{2}gk}{1250000000000000000000000000000}$$

Solution Steps

Multiply \frac{1}{2} and 1.67 to get \frac{167}{200}.

$$\frac{167}{200}\times 10^{-27}kg\times \left(4\times 10^{-1}ms^{-1}\right)^{2}$$

Calculate 10 to the power of -27 and get \frac{1}{1000000000000000000000000000}.

$$\frac{167}{200}\times \frac{1}{1000000000000000000000000000}kg\times \left(4\times 10^{-1}ms^{-1}\right)^{2}$$

Multiply \frac{167}{200} and \frac{1}{1000000000000000000000000000} to get \frac{167}{200000000000000000000000000000}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(4\times 10^{-1}ms^{-1}\right)^{2}$$

Calculate 10 to the power of -1 and get \frac{1}{10}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(4\times \frac{1}{10}ms^{-1}\right)^{2}$$

Multiply 4 and \frac{1}{10} to get \frac{2}{5}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(\frac{2}{5}ms^{-1}\right)^{2}$$

Expand \left(\frac{2}{5}ms^{-1}\right)^{2}.

$$\frac{167}{200000000000000000000000000000}kg\times \left(\frac{2}{5}\right)^{2}m^{2}\left(s^{-1}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply -1 and 2 to get -2.

$$\frac{167}{200000000000000000000000000000}kg\times \left(\frac{2}{5}\right)^{2}m^{2}s^{-2}$$

Calculate \frac{2}{5} to the power of 2 and get \frac{4}{25}.

$$\frac{167}{200000000000000000000000000000}kg\times \frac{4}{25}m^{2}s^{-2}$$

Multiply \frac{167}{200000000000000000000000000000} and \frac{4}{25} to get \frac{167}{1250000000000000000000000000000}.

$$\frac{167}{1250000000000000000000000000000}kgm^{2}s^{-2}$$