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Popular >

simplify (e^{ln(2)})^2

Solution

simplify

(e^{l n (2)})^{2}

Solution

4

Solution steps

(e^{l n (2)})^{2}

Apply exponent rule:

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

= e^{l n (2) \cdot 2}

Apply exponent rule:

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

= (e^{l n (2)})^{2}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (2)} = 2

= 2^{2}

2^{2} = 4

= 4

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Frequently Asked Questions (FAQ)

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