Solve 3.10^4*2*10^-2/6^-1*10^2

$$\frac { 3.10 ^ { 4 } \cdot 2 \cdot 10 ^ { - 2 } } { 6 ^ { - 1 } \cdot 10 ^ { 2 } }$$

Evaluate

$$0.11082252$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{2\times 3.1^{4}}{10^{4}\times \frac{1}{6}}$$

Calculate 3.1 to the power of 4 and get 92.3521.

$$\frac{2\times 92.3521}{10^{4}\times \frac{1}{6}}$$

Multiply 2 and 92.3521 to get 184.7042.

$$\frac{184.7042}{10^{4}\times \frac{1}{6}}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{184.7042}{10000\times \frac{1}{6}}$$

Multiply 10000 and \frac{1}{6} to get \frac{5000}{3}.

$$\frac{184.7042}{\frac{5000}{3}}$$

Divide 184.7042 by \frac{5000}{3} by multiplying 184.7042 by the reciprocal of \frac{5000}{3}.

$$184.7042\times \frac{3}{5000}$$

Multiply 184.7042 and \frac{3}{5000} to get \frac{2770563}{25000000}.

$$\frac{2770563}{25000000}$$

Factor

$$\frac{3 \cdot 31 ^ {4}}{2 ^ {6} \cdot 5 ^ {8}} = 0.11082252$$