Solve -1/22{left(1/2right)}^2={left(-frac{1/2right)}^3}{8}

$$\frac{ -1 }{ 2 } 2 { \left( \frac{ 1 }{ 2 } \right) }^{ 2 } = \frac{ { \left(- \frac{ 1 }{ 2 } \right) }^{ 3 } }{ 8 }$$

Verify

Solution Steps

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$-4\times 2\times \left(\frac{1}{2}\right)^{2}=\left(-\frac{1}{2}\right)^{3}$$

Multiply -4 and 2 to get -8.

$$-8\times \left(\frac{1}{2}\right)^{2}=\left(-\frac{1}{2}\right)^{3}$$

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

$$-8\times \frac{1}{4}=\left(-\frac{1}{2}\right)^{3}$$

Multiply -8 and \frac{1}{4} to get \frac{-8}{4}.

$$\frac{-8}{4}=\left(-\frac{1}{2}\right)^{3}$$

Divide -8 by 4 to get -2.

$$-2=\left(-\frac{1}{2}\right)^{3}$$

Calculate -\frac{1}{2} to the power of 3 and get -\frac{1}{8}.

$$-2=-\frac{1}{8}$$

Convert -2 to fraction -\frac{16}{8}.

$$-\frac{16}{8}=-\frac{1}{8}$$

Compare -\frac{16}{8} and -\frac{1}{8}.

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