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Popular >

simplify ((e^x)^2)^3

Solution

simplify

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

Solution

e^{6 x}

Solution steps

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

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

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

Apply exponent rule:

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

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

Multiply the numbers:

2 \cdot 3 = 6

= e^{6 x}

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Frequently Asked Questions (FAQ)

What is ((e^x)^2)^3 ?
The solution to ((e^x)^2)^3 is e^{6x}