Solve -18^2div{left(-1/2right)}^2

$${ -18 }^{ 2 } \div { \left( \frac{ -1 }{ 2 } \right) }^{ 2 }$$

Evaluate

$$1296$$

Solution Steps

Calculate -18 to the power of 2 and get 324.

$$\frac{324}{\left(\frac{-1}{2}\right)^{2}}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$\frac{324}{\left(-\frac{1}{2}\right)^{2}}$$

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

$$\frac{324}{\frac{1}{4}}$$

Divide 324 by \frac{1}{4} by multiplying 324 by the reciprocal of \frac{1}{4}.

$$324\times 4$$

Multiply 324 and 4 to get 1296.

$$1296$$

Factor

$$2^{4}\times 3^{4}$$