en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (\sqrt[16]{16})^2

Solution

simplify

Solution

2

+1

Decimal Notation

1.41421 \dots

Solution steps

Factor the number:

16 = 2^{4}

Apply radical rule:

= ((2^{4})^{\frac{1}{16}})^{2}

Apply exponent rule:

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

= (2^{4})^{\frac{1}{16} \cdot 2}

\frac{1}{16} \cdot 2 = \frac{1}{8}

= (2^{4})^{\frac{1}{8}}

Apply exponent rule:

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

2^{4} = 2^{0.5 \cdot 8} = (2)^{8}

Apply radical rule:

assuming

a \geq 0

= 2

Popular Examples

simplify ((n+1)!^k)/((n!)^k)simplify

\frac{( n + 1 ) ! ^{k}}{( n ! ) ^{k}}

simplify 1.5msqrt(x)mx^{10}m simplify

1.5 m x m x^{10} m

simplify te^{(-t(s+1))}simplify

t e^{(- t (s + 1))}

expand (x-2)^{-2}expand

(x - 2)^{- 2}

simplify (e^{-5})/(e^{-2)}simplify

\frac{e ^{- 5}}{e ^{- 2}}

Frequently Asked Questions (FAQ)

What is (\sqrt[16]{16})^2 ?
The solution to (\sqrt[16]{16})^2 is square root of 2