Write each expression in the form ekx for a suitable constant k. (a) (1e3)2x (b) еххе6−3х⋅e4х−6

Step 1 We have given expression (a) (1e3)2x=1(e3)2x =1e6x =e−6x so (1e3)2x=e−6x

(b) еххехе6−3х⋅e4х−6=е6−3x+4х−6 =ex ехх⇒е6−3х⋅e4х−6=ex

Step 1 We have given expression (a) (1e3)2x=1(e3)2x =1e6x =e−6x so (1e3)2x=e−6x

(b) еххехе6−3х⋅e4х−6=е6−3x+4х−6 =ex ехх⇒е6−3х⋅e4х−6=ex

Best solutions to - "Write each expression in the form ekx for..."

Daniell Phillips

2021-12-17

Write each expression in the form

e^{k x}

for a suitable constant k.
(a)

{(\frac{1}{e^{3}})}^{2 x}

(b)

е^{6 - 3 х} \cdot e^{4 х - 6}

Melissa Moore

Beginner2021-12-18Added 32 answers

Step 1 We have given expression
(a) ${(\frac{1}{e^{3}})}^{2 x} = \frac{1}{{(e^{3})}^{2 x}}$

$= \frac{1}{e^{6 x}}$
$= e^{- 6 x}$
so ${(\frac{1}{e^{3}})}^{2 x} = e^{- 6 x}$

Vivian Soares

Beginner2021-12-19Added 36 answers

(b)

е^{6 - 3 х} \cdot e^{4 х - 6} = е^{6 - 3 x + 4 х - 6}

= e^{x}

\Rightarrow е^{6 - 3 х} \cdot e^{4 х - 6} = e^{x}

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