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Popular >

simplify e^{2x+3}(e^{3x-5})^2

Solution

simplify

e^{2 x + 3} (e^{3 x - 5})^{2}

Solution

e^{8 x - 7}

Solution steps

e^{2 x + 3} (e^{3 x - 5})^{2}

(e^{3 x - 5})^{2} : e^{(3 x - 5) \cdot 2}

= e^{2 x + 3} e^{(3 x - 5) \cdot 2}

Apply exponent rule:

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

e^{2 x + 3} e^{(3 x - 5) \cdot 2} = e^{2 x + 3 + 2 (3 x - 5)}

= e^{2 x + 3 + (3 x - 5) \cdot 2}

Expand

2 x + 3 + (3 x - 5) \cdot 2 : 8 x - 7

= e^{8 x - 7}

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Frequently Asked Questions (FAQ)

What is e^{2x+3}(e^{3x-5})^2 ?
The solution to e^{2x+3}(e^{3x-5})^2 is e^{8x-7}