Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Multiply $2$ by $- 1$ .

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

Step 1.2

Rewrite $- 1$ as ${(- 1)}^{3}$ .

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

Step 1.3

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Step 1.4

Cancel the common factor of $3$ .

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Step 1.4.1

Cancel the common factor.

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

Step 1.4.2

Rewrite the expression.

$- 2 - 3 {(- 1)}^{2}$

Step 1.5

Raise $- 1$ to the power of $2$ .

$- 2 - 3 \cdot 1$

Step 1.6

Multiply $- 3$ by $1$ .

$- 2 - 3$

Step 2

Subtract $3$ from $- 2$ .

$- 5$