en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (25a^2)^{1/2}

Solution

simplify

(25 a^{2})^{\frac{1}{2}}

Solution

5 a

Solution steps

(25 a^{2})^{\frac{1}{2}}

Apply exponent rule:

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

(25 a^{2})^{\frac{1}{2}} = 2 5^{\frac{1}{2}} (a^{2})^{\frac{1}{2}}

= 2 5^{\frac{1}{2}} (a^{2})^{\frac{1}{2}}

2 5^{\frac{1}{2}} = 5

= 5 (a^{2})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

= 5 a^{2 \cdot \frac{1}{2}}

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

= 5 a^{1}

Apply exponent rule:

a^{1} = a

a^{1} = a

= 5 a

Popular Examples

simplify ((2sqrt(2))/3)^2 simplify

(\frac{2 2}{3})^{2}

simplify-9.5c-(-10d-10)simplify

- 9.5 c - (- 10 d - 10)

simplify (-3)^{2/5}simplify

(- 3)^{\frac{2}{5}}

2 \div \frac{1}{6}

simplify-2/3*(-6)simplify

- \frac{2}{3} \cdot (- 6)

Frequently Asked Questions (FAQ)

What is (25a^2)^{1/2} ?
The solution to (25a^2)^{1/2} is 5a