What is 2^{-x}(-2pisin(2pix)) ?

The solution to 2^{-x}(-2pisin(2pix)) is -pi2^{-x+1}sin(2pix)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2^{-x}(-2pisin(2pix))

simplify

2^{- x} (- 2 π sin (2 π x))

- π 2^{- x + 1} sin (2 π x)

Solution steps

2^{- x} (- 2 π sin (2 π x))

Apply exponent rule:

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

= \frac{1}{2 ^{x}} (- 2 π sin (2 π x))

Remove parentheses:

(- a) = - a

= - \frac{1}{2 ^{x}} \cdot 2 π sin (2 π x)

Multiply fractions:

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

= - \frac{1 \cdot 2 π sin ( 2 π x )}{2 ^{x}}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2 π sin ( 2 π x )}{2 ^{x}}

Apply exponent rule:

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

\frac{2}{2 ^{x}} = 2^{1 - x}

= - π 2^{- x + 1} sin (2 π x)

e^{- x d x}

5.56201 E 14 \cdot 6.63 \cdot 1 0^{- 34}

9 x (5 x^{2})

1.67 \cdot 1 0^{- 9}

What is 2^{-x}(-2pisin(2pix)) ?
The solution to 2^{-x}(-2pisin(2pix)) is -pi2^{-x+1}sin(2pix)