en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[4]{160^3}

Solution

simplify

Solution

8 \cdot 1 0^{\frac{3}{4}}

+1

Decimal Notation

44.98730 \dots

Solution steps

Apply radical rule:

= (16 0^{3})^{\frac{1}{4}}

Apply exponent rule:

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

= 16 0^{3 \cdot \frac{1}{4}}

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

= 16 0^{\frac{3}{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 2^{3} \cdot 1 0^{\frac{3}{4}}

2^{3} = 8

= 8 \cdot 1 0^{\frac{3}{4}}

Popular Examples

simplify 241(16)^{-0.25}simplify

241 (16)^{- 0.25}

simplify 5e^{-8}simplify

5 e^{- 8}

simplify e^{2x}(e^x)(9e^{3x})simplify

e^{2 x} (e^{x}) (9 e^{3 x})

simplify (6.72*10^4)(2.91*10^3)simplify

(6.72 \cdot 1 0^{4}) (2.91 \cdot 1 0^{3})

expand 9(-4ab^2c^{-3})^{-3}expand

9 (- 4 a b^{2} c^{- 3})^{- 3}

Frequently Asked Questions (FAQ)

What is \sqrt[4]{160^3} ?
The solution to \sqrt[4]{160^3} is 8*10^{3/4}