Write each expression in the form e^{kx} for a suitable

Write each expression in the form ${e}^{kx}$ for a suitable constant k.
(a) ${\left(\frac{1}{{e}^{3}}\right)}^{2x}$
(b) ${е}^{6-3х}\cdot {e}^{4х-6}$
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Step 1 We have given expression
(a) ${\left(\frac{1}{{e}^{3}}\right)}^{2x}=\frac{1}{{\left({e}^{3}\right)}^{2x}}$

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

Vivian Soares
(b) ${е}^{6-3х}\cdot {e}^{4х-6}={е}^{6-3x+4х-6}$
$={e}^{x}$
$⇒{е}^{6-3х}\cdot {e}^{4х-6}={e}^{x}$