What is sqrt(45x^2y^{-4)} ?

The solution to sqrt(45x^2y^{-4)} is (3sqrt(5)x)/(y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(45x^2y^{-4)}

simplify

45 x^{2} y^{- 4}

\frac{3 5 x}{y ^{2}}

Solution steps

45 x^{2} y^{- 4}

45 x^{2} y^{- 4} = 45 x^{2} y^{- 4}

= 45 x^{2} y^{- 4}

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

x^{2} = x

= 45 x y^{- 4}

45 = 35

= 35 x y^{- 4}

Simplify

y^{- 4} : \frac{1}{y ^{2}}

= 35 x \frac{1}{y ^{2}}

Apply the fraction rule:

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

= \frac{3 5 x \cdot 1}{y ^{2}}

Multiply the numbers:

3 \cdot 1 = 3

= \frac{3 5 x}{y ^{2}}

(\frac{3}{x})^{- 2}

5 (x - 6)

y^{\frac{2}{3}} y^{\frac{4}{3}}

(x^{a + 1} - 8) (x^{a + 1} + 9)

6 x^{2} - 3 + 8 x^{2} - 5 x - 1

What is sqrt(45x^2y^{-4)} ?
The solution to sqrt(45x^2y^{-4)} is (3sqrt(5)x)/(y^2)