en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (h/(2pi))^2*pi^2

Solution

simplify

(\frac{h}{2 π})^{2} \cdot π^{2}

Solution

\frac{h ^{2}}{4}

Solution steps

(\frac{h}{2 π})^{2} π^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

π^{2} (\frac{h}{2 π})^{2} = (π \frac{h}{2 π})^{2}

= (π \frac{h}{2 π})^{2}

Simplify

π \frac{h}{2 π} : \frac{h}{2}

= (\frac{h}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{h ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{h ^{2}}{4}

Popular Examples

simplify (sqrt(19))/(sqrt(13))simplify

\frac{19}{13}

simplify 200/1*8.854*10^{-12}simplify

\frac{200}{1} \cdot 8.854 \cdot 1 0^{- 12}

simplify 8.854^{-425.5}simplify

8.85 4^{- 425.5}

simplify e^{-t}(e^t-1)simplify

e^{- t} (e^{t} - 1)

simplify xe^3x simplify

x e^{3} x

Frequently Asked Questions (FAQ)

What is (h/(2pi))^2*pi^2 ?
The solution to (h/(2pi))^2*pi^2 is (h^2)/4