Solve (8)(2/3)^-1(6/4)

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

Evaluate

$$18$$

Solution Steps

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

$$8\times \frac{3}{2}\times \frac{6}{4}$$

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

$$12\times \frac{6}{4}$$

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

$$12\times \frac{3}{2}$$

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

$$18$$

Factor

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