Solve 6^262.2/frac{3366{.3623}}

$${ 6 }^{ 2 } \frac{ 62.2 }{ \frac{ 3366 }{ .3623 } }$$

Evaluate

$$\frac{1126753}{4675000}\approx 0.241016684$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$36\times \frac{62.2}{\frac{3366}{0.3623}}$$

Divide 62.2 by \frac{3366}{0.3623} by multiplying 62.2 by the reciprocal of \frac{3366}{0.3623}.

$$36\times \frac{62.2\times 0.3623}{3366}$$

Multiply 62.2 and 0.3623 to get 22.53506.

$$36\times \frac{22.53506}{3366}$$

Expand \frac{22.53506}{3366} by multiplying both numerator and the denominator by 100000.

$$36\times \frac{2253506}{336600000}$$

Reduce the fraction \frac{2253506}{336600000} to lowest terms by extracting and canceling out 2.

$$36\times \frac{1126753}{168300000}$$

Express 36\times \frac{1126753}{168300000} as a single fraction.

$$\frac{36\times 1126753}{168300000}$$

Multiply 36 and 1126753 to get 40563108.

$$\frac{40563108}{168300000}$$

Reduce the fraction \frac{40563108}{168300000} to lowest terms by extracting and canceling out 36.

$$\frac{1126753}{4675000}$$

Factor

$$\frac{311 \cdot 3623}{11 \cdot 17 \cdot 2 ^ {3} \cdot 5 ^ {5}} = 0.2410166844919786$$