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Popular >

simplify ((e^x)^5)^2

Solution

simplify

((e^{x})^{5})^{2}

Solution

e^{10 x}

Solution steps

((e^{x})^{5})^{2}

(e^{x})^{5} : e^{x \cdot 5}

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

Apply exponent rule:

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

= e^{x \cdot 5 \cdot 2}

Multiply the numbers:

5 \cdot 2 = 10

= e^{10 x}

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Frequently Asked Questions (FAQ)

What is ((e^x)^5)^2 ?
The solution to ((e^x)^5)^2 is e^{10x}