Solve 1/4(-2,83)^4-2(-2,83)^2=

$$\frac { 1 } { 4 } ( - 2,83 ) ^ { 4 } - 2 ( - 2,83 ) ^ { 2 } =$$

Evaluate

$$0,0178198025$$

Solution Steps

Calculate -2,83 to the power of 4 and get 64,14247921.

$$\frac{1}{4}\times 64,14247921-2\left(-2,83\right)^{2}$$

Convert decimal number 64,14247921 to fraction \frac{6414247921}{100000000}.

$$\frac{1}{4}\times \frac{6414247921}{100000000}-2\left(-2,83\right)^{2}$$

Multiply \frac{1}{4} times \frac{6414247921}{100000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 6414247921}{4\times 100000000}-2\left(-2,83\right)^{2}$$

Do the multiplications in the fraction \frac{1\times 6414247921}{4\times 100000000}.

$$\frac{6414247921}{400000000}-2\left(-2,83\right)^{2}$$

Calculate -2,83 to the power of 2 and get 8,0089.

$$\frac{6414247921}{400000000}-2\times 8,0089$$

Multiply 2 and 8,0089 to get 16,0178.

$$\frac{6414247921}{400000000}-16,0178$$

Convert decimal number 16,0178 to fraction \frac{160178}{10000}. Reduce the fraction \frac{160178}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{6414247921}{400000000}-\frac{80089}{5000}$$

Least common multiple of 400000000 and 5000 is 400000000. Convert \frac{6414247921}{400000000} and \frac{80089}{5000} to fractions with denominator 400000000.

$$\frac{6414247921}{400000000}-\frac{6407120000}{400000000}$$

Since \frac{6414247921}{400000000} and \frac{6407120000}{400000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6414247921-6407120000}{400000000}$$

Subtract 6407120000 from 6414247921 to get 7127921.

$$\frac{7127921}{400000000}$$

Factor

$$\frac{89 \cdot 283 ^ {2}}{2 ^ {10} \cdot 5 ^ {8}} = 0.0178198025$$