What is 3.7*4^{-0.2*x} ?

The solution to 3.7*4^{-0.2*x} is (37)/(10*1.31950…^x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3.74^{-0.2x}

simplify

3.7 \cdot 4^{- 0.2 \cdot x}

\frac{37}{10 \cdot 1.31950 \dots ^{x}}

Solution steps

3.7 \cdot 4^{- 0.2 x}

Apply exponent rule:

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

4^{- 0.2 x} = \frac{1}{4 ^{0.2 x}}

= 3.7 \cdot \frac{1}{4 ^{0.2 x}}

4^{0.2 x} = 1.31950 \dots^{x}

= 3.7 \cdot \frac{1}{1.31950 \dots ^{x}}

Apply the fraction rule:

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

= \frac{3.7 \cdot 1}{1.31950 \dots ^{x}}

Multiply the numbers:

3.7 \cdot 1 = 3.7

= \frac{3.7}{1.31950 \dots ^{x}}

Simplify

\frac{3.7}{1.31950 \dots ^{x}} : \frac{37}{10 \cdot 1.31950 \dots ^{x}}

= \frac{37}{10 \cdot 1.31950 \dots ^{x}}

t e^{- t} cos (3 t)

2.23 \cdot 1 0^{- 16} \cdot 9.8049

e^{- b}

3 x^{5} \cdot y^{5}

55 x^{3} y^{4} y