Solve 0.9*0.7^2*3/7

$$0.9 \times { 0.7 }^{ 2 } \times \frac{ 3 }{ 7 }$$

Evaluate

$$0.189$$

Solution Steps

Calculate 0.7 to the power of 2 and get 0.49.

$$0.9\times 0.49\times \frac{3}{7}$$

Multiply 0.9 and 0.49 to get 0.441.

$$0.441\times \frac{3}{7}$$

Convert decimal number 0.441 to fraction \frac{441}{1000}.

$$\frac{441}{1000}\times \frac{3}{7}$$

Multiply \frac{441}{1000} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{441\times 3}{1000\times 7}$$

Do the multiplications in the fraction \frac{441\times 3}{1000\times 7}.

$$\frac{1323}{7000}$$

Reduce the fraction \frac{1323}{7000} to lowest terms by extracting and canceling out 7.

$$\frac{189}{1000}$$

Factor

$$\frac{7 \cdot 3 ^ {3}}{2 ^ {3} \cdot 5 ^ {3}} = 0.189$$