simplify (-3)^{2/3}

Solution

simplify

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

3^{\frac{2}{3}}

Decimal Notation

2.08008 \dots

Solution steps

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

Apply exponent rule:

(- a)^{\frac{m}{n}} = (- 1)^{\frac{m}{n}} (a)^{\frac{m}{n}}

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

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

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

= 1 \cdot 3^{\frac{2}{3}}

Multiply:

1 \cdot 3^{\frac{2}{3}} = 3^{\frac{2}{3}}

= 3^{\frac{2}{3}}

\frac{5}{3}

- 10 x y^{4} (- 11 x^{3} y^{4})

(x - 3)^{2}

\frac{40}{45}

(x - 2) \cdot (x + 3)