en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[5]{243^3}

Solution

simplify

Solution

27

Solution steps

Apply radical rule:

= (24 3^{3})^{\frac{1}{5}}

Apply exponent rule:

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

= 24 3^{3 \cdot \frac{1}{5}}

3 \cdot \frac{1}{5} = \frac{3}{5}

= 24 3^{\frac{3}{5}}

Factor the number:

243 = 3^{5}

= (3^{5})^{\frac{3}{5}}

Apply exponent rule:

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

(3^{5})^{\frac{3}{5}} = 3^{5 \cdot \frac{3}{5}} = 3^{3}

= 3^{3}

Refine

= 27

Popular Examples

expand (x(x+1))^2 expand

(x (x + 1))^{2}

simplify e^3tf(t)simplify

e^{3} t f (t)

simplify 8.4*10^{-4}simplify

8.4 \cdot 1 0^{- 4}

simplify e^{-1/2 ln|cos(x)|}simplify

e^{- \frac{1}{2} l n ∣ c o s (x) ∣}

simplify 2sqrt(x)*x^{-1/2}simplify

2 x \cdot x^{- \frac{1}{2}}

Frequently Asked Questions (FAQ)

What is \sqrt[5]{243^3} ?
The solution to \sqrt[5]{243^3} is 27