Solve (36^-4*4+14div2)div1/3

$$( 36 ^ { - 4 } \times 4 + 14 \div 2 ) \div \frac { 1 } { 3 }$$

Evaluate

$$\frac{2939329}{139968}\approx 21.000007144$$

Solution Steps

Calculate 36 to the power of -4 and get \frac{1}{1679616}.

$$\frac{\frac{1}{1679616}\times 4+\frac{14}{2}}{\frac{1}{3}}$$

Multiply \frac{1}{1679616} and 4 to get \frac{1}{419904}.

$$\frac{\frac{1}{419904}+\frac{14}{2}}{\frac{1}{3}}$$

Divide 14 by 2 to get 7.

$$\frac{\frac{1}{419904}+7}{\frac{1}{3}}$$

Add \frac{1}{419904} and 7 to get \frac{2939329}{419904}.

$$\frac{\frac{2939329}{419904}}{\frac{1}{3}}$$

Divide \frac{2939329}{419904} by \frac{1}{3} by multiplying \frac{2939329}{419904} by the reciprocal of \frac{1}{3}.

$$\frac{2939329}{419904}\times 3$$

Multiply \frac{2939329}{419904} and 3 to get \frac{2939329}{139968}.

$$\frac{2939329}{139968}$$

Factor

$$\frac{71 \cdot 41399}{2 ^ {6} \cdot 3 ^ {7}} = 21\frac{1}{139968} = 21.00000714449017$$