What is sqrt(((3\sqrt{a)))/((2a^x*sqrt(a^2)))} ?

The solution to sqrt(((3\sqrt{a)))/((2a^x*sqrt(a^2)))} is sqrt(3/(2a^{\frac{2x+1){2)}}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(((3\sqrt{a)))/((2a^x*sqrt(a^2)))}

simplify

\frac{( 3 a )}{( 2 a ^{x} \cdot a ^{2} )}

\frac{3}{2 a ^{\frac{2 x + 1}{2}}}

Solution steps

\frac{3 a}{2 a ^{x} a ^{2}}

Apply exponent rule:

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

a^{2} = aa

= \frac{3 a}{2 a ^{x} aa}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

aa = a a

= \frac{3 a}{2 a ^{x} a a}

Cancel the common factor:

a

= \frac{3}{2 a ^{x} a}

Simplify

2 a^{x} a : 2 a^{\frac{2 x + 1}{2}}

= \frac{3}{2 a ^{\frac{2 x + 1}{2}}}

(4 x - y - z)^{2}

8 x^{2} + 12 x y + 18 y^{2}

12 w^{2} + 2 w - 4

4 x^{7} + 4 x

a^{2} (2 x - 4 y)^{2} - b^{2} (2 y - x)^{2}

What is sqrt(((3\sqrt{a)))/((2a^x*sqrt(a^2)))} ?
The solution to sqrt(((3\sqrt{a)))/((2a^x*sqrt(a^2)))} is sqrt(3/(2a^{\frac{2x+1){2)}}}