Solve frac{15*10^3+47sqrt{3}}{21*10^-11}

$$\frac { 15 \cdot 10 ^ { 3 } + 47 \sqrt { 3 } } { 21 \cdot 10 ^ { - 11 } }$$

Evaluate

$$\frac{4700000000000\sqrt{3}}{21}+\frac{500000000000000}{7}\approx 7.18162209 \cdot 10^{13}$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\frac{15\times 1000+47\sqrt{3}}{21\times 10^{-11}}$$

Multiply 15 and 1000 to get 15000.

$$\frac{15000+47\sqrt{3}}{21\times 10^{-11}}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{15000+47\sqrt{3}}{21\times \frac{1}{100000000000}}$$

Multiply 21 and \frac{1}{100000000000} to get \frac{21}{100000000000}.

$$\frac{15000+47\sqrt{3}}{\frac{21}{100000000000}}$$

Divide 15000+47\sqrt{3} by \frac{21}{100000000000} by multiplying 15000+47\sqrt{3} by the reciprocal of \frac{21}{100000000000}.

$$\frac{\left(15000+47\sqrt{3}\right)\times 100000000000}{21}$$

Use the distributive property to multiply 15000+47\sqrt{3} by 100000000000.

$$\frac{1500000000000000+4700000000000\sqrt{3}}{21}$$