Algebra Examples

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

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

$4 (\frac{3}{2})$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $4$ .

$2 (2) \frac{3}{2}$

Step 2.2

Cancel the common factor.

$2 \cdot 2 \frac{3}{2}$

Step 2.3

Rewrite the expression.

$2 \cdot 3$

Step 3

Multiply $2$ by $3$ .

$6$