en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((4x^5)/(y^2z))^2

Solution

simplify

(\frac{4 x ^{5}}{y ^{2} z})^{2}

Solution

\frac{16 x ^{10}}{y ^{4} z ^{2}}

Solution steps

(\frac{4 x ^{5}}{y ^{2} z})^{2}

Apply exponent rule:

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

= \frac{( 4 x ^{5} ) ^{2}}{( y ^{2} z ) ^{2}}

Simplify

(4 x^{5})^{2} : 16 x^{10}

= \frac{16 x ^{10}}{( y ^{2} z ) ^{2}}

Simplify

(y^{2} z)^{2} : y^{4} z^{2}

= \frac{16 x ^{10}}{y ^{4} z ^{2}}

Popular Examples

3 x^{2} + 27 x + 54 = 0

simplify 3^{6/18}x^{6/12}y^{5/20}simplify

3^{\frac{6}{18}} x^{\frac{6}{12}} y^{\frac{5}{20}}

- x - 1 = x + 9

(x-2)/4-(x+7)/6 =(5x-2)/9

\frac{x - 2}{4} - \frac{x + 7}{6} = \frac{5 x - 2}{9}

simplify (1/27)^{-1/3}simplify

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

Frequently Asked Questions (FAQ)

What is ((4x^5)/(y^2z))^2 ?
The solution to ((4x^5)/(y^2z))^2 is (16x^{10})/(y^4z^2)