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Popular >

simplify e^{4x}*e^{2x+1}

Solution

simplify

e^{4 x} \cdot e^{2 x + 1}

Solution

e^{6 x + 1}

Solution steps

e^{4 x} e^{2 x + 1}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{4 x} e^{2 x + 1} = e^{4 x + 2 x + 1}

= e^{4 x + 2 x + 1}

Add similar elements:

4 x + 2 x = 6 x

= e^{6 x + 1}

Popular Examples

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0.9 \cdot 5.67 \cdot 1 0^{- 8} \cdot 1.5 \cdot (305.1 5^{4} - 300.1 5^{4})

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996 (1.602 \cdot 1 0^{- 19})

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1.778 \cdot 1 0^{(- 112)}

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\frac{3 \cdot 1 0 ^{36}}{5.3 \cdot 1 0 ^{25}} \cdot 1 0^{- 111}

Frequently Asked Questions (FAQ)

What is e^{4x}*e^{2x+1} ?
The solution to e^{4x}*e^{2x+1} is e^{6x+1}