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Popular >

simplify ((e^x)^2)^2

Solution

simplify

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

Solution

e^{4 x}

Solution steps

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

(e^{x})^{2} : e^{x \cdot 2}

= (e^{x \cdot 2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

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

Multiply the numbers:

2 \cdot 2 = 4

= e^{4 x}

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Frequently Asked Questions (FAQ)

What is ((e^x)^2)^2 ?
The solution to ((e^x)^2)^2 is e^{4x}