simplify (-2)^{4/3}

Solution

simplify

(- 2)^{\frac{4}{3}}

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

Decimal Notation

2.51984 \dots

Solution steps

(- 2)^{\frac{4}{3}}

Apply exponent rule:

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

(- 2)^{\frac{4}{3}} = (- 1)^{\frac{4}{3}} \cdot 2^{\frac{4}{3}}

= (- 1)^{\frac{4}{3}} \cdot 2^{\frac{4}{3}}

(- 1)^{\frac{4}{3}} = 1

= 1 \cdot 2^{\frac{4}{3}}

2^{\frac{4}{3}} = 2 \cdot 2^{\frac{1}{3}}

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

1 - \frac{1 + 5}{2}

\frac{28}{20}

x^{2} - 26 x + 48

5 \times 8