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Popular >

simplify e^2(e^x)^3

Solution

simplify

e^{2} (e^{x})^{3}

Solution

e^{3 x + 2}

Solution steps

e^{2} (e^{x})^{3}

(e^{x})^{3} : e^{x \cdot 3}

= e^{2} e^{x \cdot 3}

Apply exponent rule:

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

e^{2} e^{x \cdot 3} = e^{2 + 3 x}

= e^{2 + x \cdot 3}

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Frequently Asked Questions (FAQ)

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