Algebra Examples

$\frac{3}{5} {(- 1)}^{\frac{5}{3}}$

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

$\frac{3}{5} \cdot {({(- 1)}^{3})}^{\frac{5}{3}}$

Step 1.2

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

$\frac{3}{5} \cdot {(- 1)}^{3 (\frac{5}{3})}$

$\frac{3}{5} \cdot {(- 1)}^{3 (\frac{5}{3})}$

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

$\frac{3}{5} \cdot {(- 1)}^{3 (\frac{5}{3})}$

Step 2.2

Rewrite the expression.

$\frac{3}{5} \cdot {(- 1)}^{5}$

$\frac{3}{5} \cdot {(- 1)}^{5}$

Step 3

Raise $- 1$ to the power of $5$ .

$\frac{3}{5} \cdot - 1$

Step 4

Multiply $\frac{3}{5} \cdot - 1$ .

Tap for more steps...

Step 4.1

Combine $\frac{3}{5}$ and $- 1$ .

$\frac{3 \cdot - 1}{5}$

Step 4.2

Multiply $3$ by $- 1$ .

$\frac{- 3}{5}$

$\frac{- 3}{5}$

Step 5

Move the negative in front of the fraction.

$- \frac{3}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{5}$

Decimal Form:

$- 0.6$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$