Solve 4*1/14^7*1000/frac{1000{41}+41}

$$\frac { 4 \cdot 1 } { 14 ^ { 7 } } \times \frac { 1000 } { \frac { 1000 } { 41 } + 41 }$$

Evaluate

$$\frac{5125}{8831675132}\approx 0.00000058$$

Solution Steps

Multiply 4 and 1 to get 4.

$$\frac{4}{14^{7}}\times \frac{1000}{\frac{1000}{41}+41}$$

Calculate 14 to the power of 7 and get 105413504.

$$\frac{4}{105413504}\times \frac{1000}{\frac{1000}{41}+41}$$

Reduce the fraction \frac{4}{105413504} to lowest terms by extracting and canceling out 4.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+41}$$

Convert 41 to fraction \frac{1681}{41}.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{1681}{41}}$$

Since \frac{1000}{41} and \frac{1681}{41} have the same denominator, add them by adding their numerators.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000+1681}{41}}$$

Add 1000 and 1681 to get 2681.

$$\frac{1}{26353376}\times \frac{1000}{\frac{2681}{41}}$$

Divide 1000 by \frac{2681}{41} by multiplying 1000 by the reciprocal of \frac{2681}{41}.

$$\frac{1}{26353376}\times 1000\times \frac{41}{2681}$$

Express 1000\times \frac{41}{2681} as a single fraction.

$$\frac{1}{26353376}\times \frac{1000\times 41}{2681}$$

Multiply 1000 and 41 to get 41000.

$$\frac{1}{26353376}\times \frac{41000}{2681}$$

Multiply \frac{1}{26353376} times \frac{41000}{2681} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 41000}{26353376\times 2681}$$

Do the multiplications in the fraction \frac{1\times 41000}{26353376\times 2681}.

$$\frac{41000}{70653401056}$$

Reduce the fraction \frac{41000}{70653401056} to lowest terms by extracting and canceling out 8.

$$\frac{5125}{8831675132}$$

Factor

$$\frac{5 ^ {3} \cdot 41}{2 ^ {2} \cdot 7 ^ {8} \cdot 383} = 5.802976132387928 \times 10^{-7}$$