en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (64a^{16})^{1/4}

Solution

simplify

(64 a^{16})^{\frac{1}{4}}

Solution

2 \cdot 2^{\frac{1}{2}} a^{4}

Solution steps

(64 a^{16})^{\frac{1}{4}}

Apply exponent rule:

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

(64 a^{16})^{\frac{1}{4}} = 6 4^{\frac{1}{4}} (a^{16})^{\frac{1}{4}}

= 6 4^{\frac{1}{4}} (a^{16})^{\frac{1}{4}}

6 4^{\frac{1}{4}} = 2 \cdot 2^{\frac{1}{2}}

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

Simplify

(a^{16})^{\frac{1}{4}} : a^{4}

= 2 \cdot 2^{\frac{1}{2}} a^{4}

Popular Examples

simplify (5+4i)/(2i)simplify

\frac{5 + 4 i}{2 i}

simplify 5/3-7/6 simplify

\frac{5}{3} - \frac{7}{6}

simplify (25z^4)^{(-3)/2}simplify

(25 z^{4})^{\frac{- 3}{2}}

factor 1-125k^3 factor

1 - 125 k^{3}

factor a^4-10a^2+169 factor

a^{4} - 10 a^{2} + 169

Frequently Asked Questions (FAQ)

What is (64a^{16})^{1/4} ?
The solution to (64a^{16})^{1/4} is 2*2^{1/2}a^4