Solve (43/50)^2*7/50*3

$$( \frac { 43 } { 50 } ) ^ { 2 } \times \frac { 7 } { 50 } \times 3$$

Evaluate

$$\frac{38829}{125000}=0.310632$$

Solution Steps

Calculate \frac{43}{50} to the power of 2 and get \frac{1849}{2500}.

$$\frac{1849}{2500}\times \frac{7}{50}\times 3$$

Multiply \frac{1849}{2500} times \frac{7}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1849\times 7}{2500\times 50}\times 3$$

Do the multiplications in the fraction \frac{1849\times 7}{2500\times 50}.

$$\frac{12943}{125000}\times 3$$

Express \frac{12943}{125000}\times 3 as a single fraction.

$$\frac{12943\times 3}{125000}$$

Multiply 12943 and 3 to get 38829.

$$\frac{38829}{125000}$$

Factor

$$\frac{3 \cdot 7 \cdot 43 ^ {2}}{2 ^ {3} \cdot 5 ^ {6}} = 0.310632$$