en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sqrt(x^2-1))^5

Solution

simplify

(x^{2} - 1)^{5}

Solution

(x^{2} - 1)^{2} x^{2} - 1

Solution steps

(x^{2} - 1)^{5}

Apply exponent rule:

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

(x^{2} - 1)^{4 + 1} = (x^{2} - 1)^{4} x^{2} - 1

= (x^{2} - 1)^{4} x^{2} - 1

Simplify

(x^{2} - 1)^{4} : ((x^{2} - 1)^{2})^{2}

= ((x^{2} - 1)^{2})^{2} x^{2} - 1

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(x^{2} - 1)^{2} = x^{2} - 1

= (x^{2} - 1)^{2} x^{2} - 1

Popular Examples

simplify (6y^{1/2})(9y^{1/2})simplify

(6 y^{\frac{1}{2}}) (9 y^{\frac{1}{2}})

simplify (3x^2y^4)(5a^2x^3y^8)simplify

(3 x^{2} y^{4}) (5 a^{2} x^{3} y^{8})

simplify sqrt(1+u^2v)*sqrt(u^4v^2+1)simplify

1 + u^{2} v \cdot u^{4} v^{2} + 1

simplify (sqrt(x^2-7x+10))/(sqrt(x-5))simplify

\frac{x ^{2} - 7 x + 10}{x - 5}

simplify (2x^2)(4x^3)simplify

(2 x^{2}) (4 x^{3})

Frequently Asked Questions (FAQ)

What is (sqrt(x^2-1))^5 ?
The solution to (sqrt(x^2-1))^5 is (x^2-1)^2sqrt(x^2-1)