en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/(4x^{2/3)})^2

Solution

simplify

(\frac{1}{4 x ^{\frac{2}{3}}})^{2}

Solution

\frac{1}{16 x ^{\frac{4}{3}}}

Solution steps

(\frac{1}{4 x ^{\frac{2}{3}}})^{2}

Apply exponent rule:

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

= \frac{1 ^{2}}{( 4 x ^{\frac{2}{3}} ) ^{2}}

1^{2} = 1

= \frac{1}{( 4 x ^{\frac{2}{3}} ) ^{2}}

Simplify

(4 x^{\frac{2}{3}})^{2} : 16 x^{\frac{4}{3}}

= \frac{1}{16 x ^{\frac{4}{3}}}

Popular Examples

factor-x^3+27x-54 factor

- x^{3} + 27 x - 54

simplify 4/(a+1)+3/(a+2)simplify

\frac{4}{a + 1} + \frac{3}{a + 2}

factor x^3+2x^2-8x factor

x^{3} + 2 x^{2} - 8 x

factor x^2-8x-48 factor

x^{2} - 8 x - 48

9 x^{2} = 81

Frequently Asked Questions (FAQ)

What is (1/(4x^{2/3)})^2 ?
The solution to (1/(4x^{2/3)})^2 is 1/(16x^{4/3)}