Solve 4/3*22/7*7^3

$$\frac{ 4 }{ 3 } \times \frac{ 22 }{ 7 } \times { 7 }^{ 3 }$$

Evaluate

$$\frac{4312}{3}\approx 1437.333333333$$

Solution Steps

Multiply \frac{4}{3} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 22}{3\times 7}\times 7^{3}$$

Do the multiplications in the fraction \frac{4\times 22}{3\times 7}.

$$\frac{88}{21}\times 7^{3}$$

Calculate 7 to the power of 3 and get 343.

$$\frac{88}{21}\times 343$$

Express \frac{88}{21}\times 343 as a single fraction.

$$\frac{88\times 343}{21}$$

Multiply 88 and 343 to get 30184.

$$\frac{30184}{21}$$

Reduce the fraction \frac{30184}{21} to lowest terms by extracting and canceling out 7.

$$\frac{4312}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 7 ^ {2} \cdot 11}{3} = 1437\frac{1}{3} = 1437.3333333333333$$