Solve 3*10^8/10.94*10^-7^

$$\frac{ 3 \times { 10 }^{ 8 } }{ 10.94 \times { 10 }^{ { -7 }^{ } } }$$

Evaluate

$$\frac{150000000000000000}{547}\approx 2.742230347 \cdot 10^{14}$$

Solution Steps

Calculate 10 to the power of 8 and get 100000000.

$$\frac{3\times 100000000}{10.94\times 10^{\left(-7\right)^{1}}}$$

Multiply 3 and 100000000 to get 300000000.

$$\frac{300000000}{10.94\times 10^{\left(-7\right)^{1}}}$$

Calculate -7 to the power of 1 and get -7.

$$\frac{300000000}{10.94\times 10^{-7}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{300000000}{10.94\times \frac{1}{10000000}}$$

Multiply 10.94 and \frac{1}{10000000} to get \frac{547}{500000000}.

$$\frac{300000000}{\frac{547}{500000000}}$$

Divide 300000000 by \frac{547}{500000000} by multiplying 300000000 by the reciprocal of \frac{547}{500000000}.

$$300000000\times \frac{500000000}{547}$$

Multiply 300000000 and \frac{500000000}{547} to get \frac{150000000000000000}{547}.

$$\frac{150000000000000000}{547}$$

Factor

$$\frac{3 \cdot 2 ^ {16} \cdot 5 ^ {17}}{547} = 274223034734917\frac{401}{547} = 274223034734917.72$$