en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (9a^4)^{1/2}

Solution

simplify

(9 a^{4})^{\frac{1}{2}}

Solution

3 a^{2}

Solution steps

(9 a^{4})^{\frac{1}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(9 a^{4})^{\frac{1}{2}} = 9^{\frac{1}{2}} (a^{4})^{\frac{1}{2}}

= 9^{\frac{1}{2}} (a^{4})^{\frac{1}{2}}

9^{\frac{1}{2}} = 3

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(a^{4})^{\frac{1}{2}} = a^{4 \cdot \frac{1}{2}}

= 3 a^{4 \cdot \frac{1}{2}}

4 \cdot \frac{1}{2} = 2

= 3 a^{2}

Popular Examples

expand (w+4)^2 expand

(w + 4)^{2}

factor 7a+7b factor

7 a + 7 b

factor-5x^5+35x^3 factor

- 5 x^{5} + 35 x^{3}

factor 2x+4y+4 factor

2 x + 4 y + 4

simplify-29-(-102)simplify

- 29 - (- 102)

Frequently Asked Questions (FAQ)

What is (9a^4)^{1/2} ?
The solution to (9a^4)^{1/2} is 3a^2