What is (24sqrt(225x^{22)})/(4sqrt(5x^4)) ?

The solution to (24sqrt(225x^{22)})/(4sqrt(5x^4)) is 18sqrt(5)x^9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (24sqrt(225x^{22)})/(4sqrt(5x^4))

simplify

\frac{24 225 x ^{22}}{4 5 x ^{4}}

185 x^{9}

Solution steps

\frac{24 225 x ^{22}}{4 5 x ^{4}}

Factor the number:

24 = 4 \cdot 6

= \frac{4 \cdot 6 225 x ^{22}}{4 5 x ^{4}}

Cancel the common factor:

4

= \frac{6 225 x ^{22}}{5 x ^{4}}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

225 x^{22} = 225 x^{22}

= \frac{6 225 x ^{22}}{5 x ^{4}}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

5 x^{4} = 5 x^{4}

= \frac{6 225 x ^{22}}{5 x ^{4}}

Factor

225 : 545

= \frac{6 5 45 x ^{22}}{5 x ^{4}}

Cancel the common factor:

5

= \frac{6 45 x ^{22}}{x ^{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{22} = x^{4} x^{18}

= \frac{6 45 x ^{4} x ^{18}}{x ^{4}}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

x^{4} x^{18} = x^{4} x^{18}

= \frac{6 45 x ^{4} x ^{18}}{x ^{4}}

Cancel the common factor:

x^{4}

= 645 x^{18}

Simplify

645 x^{18} : 185 x^{9}

= 185 x^{9}

\frac{10}{x}

(\frac{8}{27})^{\frac{- 1}{3}}

x y + x^{3} y^{2}

- 9 \cdot 3

8 \cdot 1 0^{4}

What is (24sqrt(225x^{22)})/(4sqrt(5x^4)) ?
The solution to (24sqrt(225x^{22)})/(4sqrt(5x^4)) is 18sqrt(5)x^9