Evaluate (0.5^1.5)/3-2/3*0.5^3

$\frac{{0.5}^{1.5}}{3} - \frac{2}{3} \cdot {0.5}^{3}$

Simplify each term.

Tap for more steps…

Raise $0.5$ to the power of $1.5$ .

$\frac{0.35355339}{3} - \frac{2}{3} \cdot {0.5}^{3}$

Divide $0.35355339$ by $3$ .

$0.11785113 - \frac{2}{3} \cdot {0.5}^{3}$

Raise $0.5$ to the power of $3$ .

$0.11785113 - \frac{2}{3} \cdot 0.125$

Cancel the common factor of $0.125$ .

Tap for more steps…

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$0.11785113 + \frac{- 2}{3} \cdot 0.125$

Factor $0.125$ out of $3$ .

$0.11785113 + \frac{- 2}{0.125 (24)} \cdot 0.125$

Cancel the common factor.

$0.11785113 + \frac{- 2}{0.125 \cdot 24} \cdot 0.125$

Rewrite the expression.

$0.11785113 + \frac{- 2}{24}$

Cancel the common factor of $- 2$ and $24$ .

Tap for more steps…

Factor $2$ out of $- 2$ .

$0.11785113 + \frac{2 (- 1)}{24}$

Cancel the common factors.

Tap for more steps…

Factor $2$ out of $24$ .

$0.11785113 + \frac{2 \cdot - 1}{2 \cdot 12}$

Cancel the common factor.

$0.11785113 + \frac{2 \cdot - 1}{2 \cdot 12}$

Rewrite the expression.

$0.11785113 + \frac{- 1}{12}$

Move the negative in front of the fraction.

$0.11785113 - \frac{1}{12}$

To write $0.11785113$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$0.11785113 \cdot \frac{12}{12} - \frac{1}{12}$

Combine fractions.

Tap for more steps…

Combine $0.11785113$ and $\frac{12}{12}$ .

$\frac{0.11785113 \cdot 12}{12} - \frac{1}{12}$

Combine the numerators over the common denominator.

$\frac{0.11785113 \cdot 12 - 1}{12}$

Simplify the numerator.

Tap for more steps…

Multiply $0.11785113$ by $12$ .

$\frac{1.41421356 - 1}{12}$

Subtract $1$ from $1.41421356$ .

$\frac{0.41421356}{12}$

Divide $0.41421356$ by $12$ .

$0.03451779$

Evaluate (0.5^1.5)/3-2/3*0.5^3

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

We can solve all your math problems