CALCU-50. Simplify: e^3-4 xe^4-2 x.a. 4 x-32 x-4b.

50. Simplify:

\frac{e^{3-4 x}}{e^{4-2 x}}

. a.

\frac{4 x-3}{2 x-4}

b.

\frac{3-4 x}{4-2 x}

c.

e^{1+2 x}

d.

e^{8 x^{2}-22 x+12}

e.

e^{-1-2 x}

Generated Graph

Solution by Steps

step 2

Applying the property to the given expression:

\frac{e^{3-4x}}{e^{4-2x}} = e^{(3-4x)-(4-2x)}

step 3

Simplify the exponent:

(3-4x)-(4-2x) = 3 - 4x - 4 + 2x = -1 - 2x

step 4

The simplified expression is therefore

e^{-1-2x}

E

Key Concept

Properties of Exponents

Explanation

When dividing exponential expressions with the same base, subtract the exponents.

Generate me a similar question

What is the simplified form of the expression

\frac{e^{3-4x}}{e^{4-2x}}

, using exponent rules? (A)

\frac{4x-3}{2x-4}

(B)

\frac{3-4x}{4-2x}

(C)

e^{1+2x}

(D)

e^{-1-2x}

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