What is \sqrt[4]{(-13)}^5 ?

The solution to \sqrt[4]{(-13)}^5 is -13\sqrt[4]{-1}\sqrt[4]{13}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{(-13)}^5

simplify

Solution steps

Apply radical rule:

= (((- 13))^{\frac{1}{4}})^{5}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= ((- 13))^{\frac{1}{4} \cdot 5}

\frac{1}{4} \cdot 5 = \frac{5}{4}

= ((- 13))^{\frac{5}{4}}

Apply exponent rule:

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

(- 13)^{\frac{5}{4}} = (- 1)^{\frac{5}{4}} \cdot 1 3^{\frac{5}{4}}

= (- 1)^{\frac{5}{4}} \cdot 1 3^{\frac{5}{4}}

Remove parentheses:

(- a) = - a

Multiply the numbers:

1 \cdot 13 = 13

2 t^{4} e^{- 2 t} u (t)

50 e^{- 0.15 (7)}

(1 - x)^{\frac{1}{2}} (x)^{\frac{1}{2}}

20 e^{- 2 x} \cdot 80 e^{- 2 x}

49900 \cdot e^{- 300000}

What is \sqrt[4]{(-13)}^5 ?
The solution to \sqrt[4]{(-13)}^5 is -13\sqrt[4]{-1}\sqrt[4]{13}