Solve 4/3*(4.2)^3/6^2

$$\frac { 4 } { 3 } \times \frac { ( 4.2 ) ^ { 3 } } { 6 ^ { 2 } }$$

Evaluate

$$2.744$$

Solution Steps

Calculate 4.2 to the power of 3 and get 74.088.

$$\frac{4}{3}\times \frac{74.088}{6^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$\frac{4}{3}\times \frac{74.088}{36}$$

Expand \frac{74.088}{36} by multiplying both numerator and the denominator by 1000.

$$\frac{4}{3}\times \frac{74088}{36000}$$

Reduce the fraction \frac{74088}{36000} to lowest terms by extracting and canceling out 72.

$$\frac{4}{3}\times \frac{1029}{500}$$

Multiply \frac{4}{3} times \frac{1029}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 1029}{3\times 500}$$

Do the multiplications in the fraction \frac{4\times 1029}{3\times 500}.

$$\frac{4116}{1500}$$

Reduce the fraction \frac{4116}{1500} to lowest terms by extracting and canceling out 12.

$$\frac{343}{125}$$

Factor

$$\frac{7 ^ {3}}{5 ^ {3}} = 2\frac{93}{125} = 2.744$$