en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e(7/2)^{-2}

Solution

simplify

e (\frac{7}{2})^{- 2}

Solution

\frac{4 e}{49}

+1

Decimal Notation

0.22190 \dots

Solution steps

e (\frac{7}{2})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= e \frac{1}{( \frac{7}{2} ) ^{2}}

\frac{1}{( \frac{7}{2} ) ^{2}} = \frac{2 ^{2}}{7 ^{2}}

= e \frac{2 ^{2}}{7 ^{2}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ^{2} e}{7 ^{2}}

2^{2} = 4

= \frac{4 e}{7 ^{2}}

7^{2} = 49

= \frac{4 e}{49}

Popular Examples

simplify (e^{x/2}*cos(2x))*(e^{x/2}*cos(x))simplify

(e^{\frac{x}{2}} \cdot cos (2 x)) \cdot (e^{\frac{x}{2}} \cdot cos (x))

simplify e^{-(-7)^2}simplify

e^{- (- 7)^{2}}

simplify e^x*1/3 e^{-x}xln(x)simplify

e^{x} \cdot \frac{1}{3} e^{- x} x ln (x)

simplify ((3*10^8))/(1.177*10^{-7)}*6.63*10^{-34}simplify

\frac{( 3 \cdot 1 0 ^{8} )}{1.177 \cdot 1 0 ^{- 7}} \cdot 6.63 \cdot 1 0^{- 34}

simplify ((2e^{-4})/6)^{-3}simplify

(\frac{2 e ^{- 4}}{6})^{- 3}

Frequently Asked Questions (FAQ)

What is e(7/2)^{-2} ?
The solution to e(7/2)^{-2} is (4e)/(49)