Algebra Examples

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

Step 1

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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Step 1.1

Factor $x^{2}$ out of $2 x^{3}$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x^{2}$ out of $3 x^{2}$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

Step 2

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

$\frac{3}{2 x}$