Solve -5*8^2+6-5/2^2

$$-5 \times { 8 }^{ 2 } +6- \frac{ 5 }{ { 2 }^{ 2 } }$$

Evaluate

$$-\frac{1261}{4}=-315.25$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$-5\times 64+6-\frac{5}{2^{2}}$$

Multiply -5 and 64 to get -320.

$$-320+6-\frac{5}{2^{2}}$$

Add -320 and 6 to get -314.

$$-314-\frac{5}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$-314-\frac{5}{4}$$

Convert -314 to fraction -\frac{1256}{4}.

$$-\frac{1256}{4}-\frac{5}{4}$$

Since -\frac{1256}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-1256-5}{4}$$

Subtract 5 from -1256 to get -1261.

$$-\frac{1261}{4}$$

Factor

$$-\frac{1261}{4} = -315\frac{1}{4} = -315.25$$