Solve 1/2(35.7)35.7^2

$$\frac{ 1 }{ 2 } (35.7) { 35.7 }^{ 2 }$$

Evaluate

$$22749.6465$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{1}{2}\times 35.7^{3}$$

Calculate 35.7 to the power of 3 and get 45499.293.

$$\frac{1}{2}\times 45499.293$$

Convert decimal number 45499.293 to fraction \frac{45499293}{1000}.

$$\frac{1}{2}\times \frac{45499293}{1000}$$

Multiply \frac{1}{2} times \frac{45499293}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 45499293}{2\times 1000}$$

Do the multiplications in the fraction \frac{1\times 45499293}{2\times 1000}.

$$\frac{45499293}{2000}$$

Factor

$$\frac{3 ^ {3} \cdot 7 ^ {3} \cdot 17 ^ {3}}{2 ^ {4} \cdot 5 ^ {3}} = 22749\frac{1293}{2000} = 22749.6465$$