en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (100s^3)^{1/2}

Solution

simplify

(100 s^{3})^{\frac{1}{2}}

Solution

10 s^{\frac{3}{2}}

Solution steps

(100 s^{3})^{\frac{1}{2}}

Apply exponent rule:

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

(100 s^{3})^{\frac{1}{2}} = 10 0^{\frac{1}{2}} (s^{3})^{\frac{1}{2}}

= 10 0^{\frac{1}{2}} (s^{3})^{\frac{1}{2}}

10 0^{\frac{1}{2}} = 10

= 10 (s^{3})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

(s^{3})^{\frac{1}{2}} = s^{3 \cdot \frac{1}{2}}

= 10 s^{3 \cdot \frac{1}{2}}

3 \cdot \frac{1}{2} = \frac{3}{2}

= 10 s^{\frac{3}{2}}

Popular Examples

simplify-sqrt(5)-sqrt(5)simplify

- 5 - 5

simplify (a^{1/2})^5 simplify

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

simplify (z-1/z)^2 simplify

(z - \frac{1}{z})^{2}

\frac{8}{3} \div \frac{2}{5}

simplify 5/(\frac{1){x-2}+2}simplify

\frac{5}{\frac{1}{x - 2} + 2}

Frequently Asked Questions (FAQ)

What is (100s^3)^{1/2} ?
The solution to (100s^3)^{1/2} is 10s^{3/2}