Solve 8{left(2/3right)}^-16/4{left(4/2right)}^-1

$$8 { \left( \frac{ 2 }{ 3 } \right) }^{ -1 } \frac{ 6 }{ 4 } { \left( \frac{ 4 }{ 2 } \right) }^{ -1 }$$

Evaluate

$$9$$

Solution Steps

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

$$8\times \frac{3}{2}\times \frac{6}{4}\times \left(\frac{4}{2}\right)^{-1}$$

Multiply 8 and \frac{3}{2} to get 12.

$$12\times \frac{6}{4}\times \left(\frac{4}{2}\right)^{-1}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$12\times \frac{3}{2}\times \left(\frac{4}{2}\right)^{-1}$$

Multiply 12 and \frac{3}{2} to get 18.

$$18\times \left(\frac{4}{2}\right)^{-1}$$

Divide 4 by 2 to get 2.

$$18\times 2^{-1}$$

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

$$18\times \frac{1}{2}$$

Multiply 18 and \frac{1}{2} to get 9.

$$9$$

Factor

$$3^{2}$$