en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-1024)^{1/5}

Solution

simplify

(- 1024)^{\frac{1}{5}}

Solution

- 4

Solution steps

(- 1024)^{\frac{1}{5}}

Apply exponent rule:

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

if

n

is odd

(- 1024)^{\frac{1}{5}} = - 102 4^{\frac{1}{5}}

= - 102 4^{\frac{1}{5}}

Factor the number:

1024 = 4^{5}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

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

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

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

= - 4^{1}

Apply exponent rule:

a^{1} = a

4^{1} = 4

= - 4

Popular Examples

simplify-4+10 simplify

- 4 + 10

simplify 3/4 sqrt(192)-5/6 sqrt(108)simplify

\frac{3}{4} 192 - \frac{5}{6} 108

simplify (m-3n)/(6m^3n)-(m+3n)/(6m^3n)simplify

\frac{m - 3 n}{6 m ^{3} n} - \frac{m + 3 n}{6 m ^{3} n}

simplify (-2)/8 simplify

\frac{- 2}{8}

3 < ∣ d - 6 ∣

Frequently Asked Questions (FAQ)

What is (-1024)^{1/5} ?
The solution to (-1024)^{1/5} is -4