Solve (left(420+69right)^2/frac{42069{6942}})*69420

$$( \frac{ { \left(420+69 \right) }^{ 2 } }{ \frac{ 42069 }{ 6942 } } ) \times 69420$$

Evaluate

$$\frac{38411890503480}{14023}\approx 2739206339.833131284$$

Solution Steps

Add 420 and 69 to get 489.

$$\frac{489^{2}}{\frac{42069}{6942}}\times 69420$$

Calculate 489 to the power of 2 and get 239121.

$$\frac{239121}{\frac{42069}{6942}}\times 69420$$

Reduce the fraction \frac{42069}{6942} to lowest terms by extracting and canceling out 3.

$$\frac{239121}{\frac{14023}{2314}}\times 69420$$

Divide 239121 by \frac{14023}{2314} by multiplying 239121 by the reciprocal of \frac{14023}{2314}.

$$239121\times \frac{2314}{14023}\times 69420$$

Multiply 239121 and \frac{2314}{14023} to get \frac{553325994}{14023}.

$$\frac{553325994}{14023}\times 69420$$

Multiply \frac{553325994}{14023} and 69420 to get \frac{38411890503480}{14023}.

$$\frac{38411890503480}{14023}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3} \cdot 5 \cdot 13 ^ {2} \cdot 89 ^ {2} \cdot 163 ^ {2}}{37 \cdot 379} = 2739206339\frac{11683}{14023} = 2739206339.8331313$$