Solve x=sqrt[3]{-0.216}*1/sqrt{16}divsqrt{117/64}

$$x= \sqrt[3]{ -0.216 } \times \frac{ 1 }{ \sqrt{ 16 } } \div \sqrt{ 1 \frac{ 17 }{ 64 } }$$

Solve for x

$$x=-\frac{2}{15}\approx -0.133333333$$

Steps for Solving Linear Equation

Calculate \sqrt[3]{-0.216} and get -\frac{3}{5}.

$$x=\frac{-\frac{3}{5}\times \frac{1}{\sqrt{16}}}{\sqrt{\frac{1\times 64+17}{64}}}$$

Calculate the square root of 16 and get 4.

$$x=\frac{-\frac{3}{5}\times \frac{1}{4}}{\sqrt{\frac{1\times 64+17}{64}}}$$

Multiply -\frac{3}{5} and \frac{1}{4} to get -\frac{3}{20}.

$$x=\frac{-\frac{3}{20}}{\sqrt{\frac{1\times 64+17}{64}}}$$

Multiply 1 and 64 to get 64.

$$x=\frac{-\frac{3}{20}}{\sqrt{\frac{64+17}{64}}}$$

Add 64 and 17 to get 81.

$$x=\frac{-\frac{3}{20}}{\sqrt{\frac{81}{64}}}$$

Rewrite the square root of the division \frac{81}{64} as the division of square roots \frac{\sqrt{81}}{\sqrt{64}}. Take the square root of both numerator and denominator.

$$x=\frac{-\frac{3}{20}}{\frac{9}{8}}$$

Divide -\frac{3}{20} by \frac{9}{8} by multiplying -\frac{3}{20} by the reciprocal of \frac{9}{8}.

$$x=-\frac{3}{20}\times \frac{8}{9}$$

Multiply -\frac{3}{20} and \frac{8}{9} to get -\frac{2}{15}.

$$x=-\frac{2}{15}$$

Solve for x (complex solution)

$$x=\frac{2e^{\frac{i\pi }{3}}}{15}\approx 0.066666667+0.115470054i$$

Assign x (complex solution)

$$x≔\frac{2e^{\frac{i\pi }{3}}}{15}$$

Assign x

$$x≔-\frac{2}{15}$$