What is 0.45*(3.53)^{-0.55} ?

The solution to 0.45*(3.53)^{-0.55} is 9/(20*3.53^{0.55)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 0.45*(3.53)^{-0.55}

simplify

0.45 \cdot (3.53)^{- 0.55}

\frac{9}{20 \cdot 3.5 3 ^{0.55}}

Decimal Notation

0.22487 \dots

Solution steps

0.45 \cdot 3.5 3^{- 0.55}

Apply exponent rule:

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

3.5 3^{- 0.55} = \frac{1}{3.5 3 ^{0.55}}

= 0.45 \cdot \frac{1}{3.5 3 ^{0.55}}

0.45 \cdot \frac{1}{3.5 3 ^{0.55}} = \frac{0.45}{3.5 3 ^{0.55}}

= \frac{0.45}{3.5 3 ^{0.55}}

\frac{0.45}{3.5 3 ^{0.55}} = \frac{45}{100 \cdot 3.5 3 ^{0.55}}

= \frac{45}{100 \cdot 3.5 3 ^{0.55}}

Factor the number:

45 = 5 \cdot 9

= \frac{5 \cdot 9}{100 \cdot 3.5 3 ^{0.55}}

Factor the number:

100 = 5 \cdot 20

= \frac{5 \cdot 9}{5 \cdot 20 \cdot 3.5 3 ^{0.55}}

Cancel the common factor:

5

= \frac{9}{20 \cdot 3.5 3 ^{0.55}}

6 e^{- 2 x}

e^{- \frac{2}{x}}

\frac{- 54}{9}

\frac{1}{6}

What is 0.45*(3.53)^{-0.55} ?
The solution to 0.45*(3.53)^{-0.55} is 9/(20*3.53^{0.55)}