Basic Math Examples

$(\frac{2}{3}) {(0.5)}^{- \frac{2}{3}} - \frac{2}{3} {(0.5)}^{- \frac{1}{3}}$

Step 1

Simplify each term.

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Step 1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{2}{3} \cdot \frac{1}{{0.5}^{\frac{2}{3}}} - \frac{2}{3} \cdot {(0.5)}^{- \frac{1}{3}}$

Step 1.2

Combine.

$\frac{2 \cdot 1}{3 \cdot {0.5}^{\frac{2}{3}}} - \frac{2}{3} \cdot {(0.5)}^{- \frac{1}{3}}$

Step 1.3

Multiply $2$ by $1$ .

$\frac{2}{3 \cdot {0.5}^{\frac{2}{3}}} - \frac{2}{3} \cdot {(0.5)}^{- \frac{1}{3}}$

Step 1.4

Raise $0.5$ to the power of $\frac{2}{3}$ .

$\frac{2}{3 \cdot 0.62996052} - \frac{2}{3} \cdot {(0.5)}^{- \frac{1}{3}}$

Step 1.5

Multiply $3$ by $0.62996052$ .

$\frac{2}{1.88988157} - \frac{2}{3} \cdot {(0.5)}^{- \frac{1}{3}}$

Step 1.6

Divide $2$ by $1.88988157$ .

$1.05826736 - \frac{2}{3} \cdot {(0.5)}^{- \frac{1}{3}}$

Step 1.7

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$1.05826736 - \frac{2}{3} \cdot \frac{1}{{0.5}^{\frac{1}{3}}}$

Step 1.8

Raise $0.5$ to the power of $\frac{1}{3}$ .

$1.05826736 - \frac{2}{3} \cdot \frac{1}{0.79370052}$

Step 1.9

Divide $1$ by $0.79370052$ .

$1.05826736 - \frac{2}{3} \cdot 1.25992104$

Step 1.10

Multiply $- \frac{2}{3} \cdot 1.25992104$ .

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Step 1.10.1

Multiply $1.25992104$ by $- 1$ .

$1.05826736 - 1.25992104 (\frac{2}{3})$

Step 1.10.2

Combine $- 1.25992104$ and $\frac{2}{3}$ .

$1.05826736 + \frac{- 1.25992104 \cdot 2}{3}$

Step 1.10.3

Multiply $- 1.25992104$ by $2$ .

$1.05826736 + \frac{- 2.51984209}{3}$

Step 1.11

Divide $- 2.51984209$ by $3$ .

$1.05826736 - 0.83994736$

Step 2

Subtract $0.83994736$ from $1.05826736$ .

$0.21832$