Solve -5^2*(-1/5)^2-4^2div(-1/2)^2

$$- 5 ^ { 2 } \times ( - \frac { 1 } { 5 } ) ^ { 2 } - 4 ^ { 2 } \div ( - \frac { 1 } { 2 } ) ^ { 2 }$$

Evaluate

$$-65$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$-25\left(-\frac{1}{5}\right)^{2}-\frac{4^{2}}{\left(-\frac{1}{2}\right)^{2}}$$

Calculate -\frac{1}{5} to the power of 2 and get \frac{1}{25}.

$$-25\times \frac{1}{25}-\frac{4^{2}}{\left(-\frac{1}{2}\right)^{2}}$$

Multiply -25 times \frac{1}{25}.

$$-1-\frac{4^{2}}{\left(-\frac{1}{2}\right)^{2}}$$

Calculate 4 to the power of 2 and get 16.

$$-1-\frac{16}{\left(-\frac{1}{2}\right)^{2}}$$

Calculate -\frac{1}{2} to the power of 2 and get \frac{1}{4}.

$$-1-\frac{16}{\frac{1}{4}}$$

Divide 16 by \frac{1}{4} by multiplying 16 by the reciprocal of \frac{1}{4}.

$$-1-16\times 4$$

Multiply 16 and 4 to get 64.

$$-1-64$$

Subtract 64 from -1 to get -65.

$$-65$$

Factor

$$-65$$