What is sqrt(16a^8*b^{-2)} ?

The solution to sqrt(16a^8*b^{-2)} is (4a^4)/b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(16a^8*b^{-2)}

simplify

16 a^{8} \cdot b^{- 2}

\frac{4 a ^{4}}{b}

Solution steps

16 a^{8} b^{- 2}

16 a^{8} b^{- 2} = 16 a^{8} b^{- 2}

= 16 a^{8} b^{- 2}

16 = 4

= 4 a^{8} b^{- 2}

Simplify

a^{8} : a^{4}

= 4 a^{4} b^{- 2}

Simplify

b^{- 2} : \frac{1}{b}

= 4 a^{4} \frac{1}{b}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply the numbers:

4 \cdot 1 = 4

= \frac{4 a ^{4}}{b}

2 x + 12 x^{16}

(x + y) (x - y) (x^{2} + x y + y^{2}) (x^{2} - x y + y^{2})

(4 p^{2} \cdot 2 q - 3 r - 6)^{- 3}

2 x - 5 x - x + 2 x

\frac{3}{2} e^{x} - \frac{2}{2} e^{x}