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QuestionSimplify e4x−2ex+1e^{4x-2} e^{x+1}. What is the result? a) e5x−1e^{5x-1} b) e4x2+2x−2e^{4x^{2}+2x-2} c) e3x−3e^{3x-3} d) e3x−1e^{3x-1} e) e3e^{3}

Studdy Solution

STEP 1

Assumptions1. We are given the expression e4x−ex+1e^{4 x-} e^{x+1}. . We are asked to simplify this expression.
3. We know that when multiplying two exponential expressions with the same base, we can add the exponents.

STEP 2

We can use the rule of exponents which states that when multiplying two exponential expressions with the same base, we can add the exponents.e4x−2ex+1=e(4x−2)+(x+1)e^{4 x-2} e^{x+1} = e^{(4 x-2)+(x+1)}

STEP 3

Now, simplify the expression in the exponent.
e(x−2)+(x+1)=e5x−1e^{( x-2)+(x+1)} = e^{5x-1}So, the simplified form of the given expression is e5x−1e^{5x-1}.

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