en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-512)^{2/3}

Solution

simplify

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

Solution

64

Solution steps

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

Apply exponent rule:

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

(- 512)^{\frac{2}{3}} = (- 1)^{\frac{2}{3}} \cdot 51 2^{\frac{2}{3}}

= (- 1)^{\frac{2}{3}} \cdot 51 2^{\frac{2}{3}}

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

= 1 \cdot 51 2^{\frac{2}{3}}

51 2^{\frac{2}{3}} = 64

= 1 \cdot 64

Multiply the numbers:

1 \cdot 64 = 64

= 64

Popular Examples

simplify 6/(sqrt(2)-\sqrt{3)}simplify

\frac{6}{2 - 3}

b^{2} = 2.56

x^{2} - 13 x + 22 = 0

simplify sqrt(8)sqrt(56)simplify

856

3 < - 2 x - 1 \leq 7

Frequently Asked Questions (FAQ)

What is (-512)^{2/3} ?
The solution to (-512)^{2/3} is 64