en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3^0)/(0!)e^{-3}

Solution

simplify

\frac{3 ^{0}}{0 !} e^{- 3}

Solution

\frac{1}{e ^{3}}

+1

Decimal Notation

0.04978 \dots

Solution steps

\frac{3 ^{0}}{0 !} e^{- 3}

Apply exponent rule:

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

= \frac{1}{e ^{3}} \cdot \frac{3 ^{0}}{0 !}

Apply rule

a^{0} = 1, a \neq = 0

3^{0} = 1

= \frac{1}{0 !} \cdot \frac{1}{e ^{3}}

\frac{1}{0 !} = 1

= 1 \cdot \frac{1}{e ^{3}}

Multiply:

1 \cdot \frac{1}{e ^{3}} = \frac{1}{e ^{3}}

= \frac{1}{e ^{3}}

Popular Examples

simplify (5x^2y^3)(2xy^2)simplify

(5 x^{2} y^{3}) (2 x y^{2})

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

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

simplify (4n^3)(2n^2)simplify

(4 n^{3}) (2 n^{2})

simplify sqrt(3x-2)sqrt(3x+3h-2)simplify

3 x - 2 3 x + 3 h - 2

simplify-x^3(x^2-1)^3 simplify

- x^{3} (x^{2} - 1)^{3}

Frequently Asked Questions (FAQ)

What is (3^0)/(0!)e^{-3} ?
The solution to (3^0)/(0!)e^{-3} is 1/(e^3)