en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^4-1/(4x^4))^2

Solution

simplify

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

Solution

\frac{( 4 x ^{8} - 1 ) ^{2}}{16 x ^{8}}

Solution steps

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

Join

x^{4} - \frac{1}{4 x ^{4}} : \frac{4 x ^{8} - 1}{4 x ^{4}}

= (\frac{4 x ^{8} - 1}{4 x ^{4}})^{2}

Apply exponent rule:

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

= \frac{( 4 x ^{8} - 1 ) ^{2}}{( 4 x ^{4} ) ^{2}}

Simplify

(4 x^{4})^{2} : 16 x^{8}

= \frac{( 4 x ^{8} - 1 ) ^{2}}{16 x ^{8}}

Popular Examples

\frac{7}{15} \div \frac{3}{10}

simplify (4x+8)/(x^2-4)*(x^2+x-6)/(x^2+3x)simplify

\frac{4 x + 8}{x ^{2} - 4} \cdot \frac{x ^{2} + x - 6}{x ^{2} + 3 x}

simplify (1+sqrt(-64))/(2-8i)simplify

\frac{1 + - 64}{2 - 8 i}

simplify (1.25)^2 simplify

(1.25)^{2}

simplify 5+(-3)(6x-5)simplify

5 + (- 3) (6 x - 5)

Frequently Asked Questions (FAQ)

What is (x^4-1/(4x^4))^2 ?
The solution to (x^4-1/(4x^4))^2 is ((4x^8-1)^2)/(16x^8)