en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify \sqrt[15]{343^5}

Solution

simplify

Solution

7

Solution steps

Apply radical rule:

= (34 3^{5})^{\frac{1}{15}}

Apply exponent rule:

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

= 34 3^{5 \cdot \frac{1}{15}}

5 \cdot \frac{1}{15} = \frac{1}{3}

= 34 3^{\frac{1}{3}}

Factor the number:

343 = 7^{3}

Apply radical rule:

= 7

Popular Examples

simplify 0.3*pi*((0.2)^{-2}-1)^{-1/12}simplify

0.3 \cdot π \cdot ((0.2)^{- 2} - 1)^{- \frac{1}{12}}

simplify 40(5)^{-0.5}(1/(25sqrt(5)))^{0.2}simplify

40 (5)^{- 0.5} (\frac{1}{25 5})^{0.2}

simplify (sqrt(5))^{6sqrt(5)}simplify

(5)^{65}

simplify k^2(k+2)^2 simplify

k^{2} (k + 2)^{2}

simplify (sqrt(3+\sqrt{5)})/(sqrt(3-\sqrt{5))}simplify

\frac{3 + 5}{3 - 5}

Frequently Asked Questions (FAQ)

What is \sqrt[15]{343^5} ?
The solution to \sqrt[15]{343^5} is 7