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Popular >

simplify (e^{ln(3)})^3

Solution

simplify

(e^{l n (3)})^{3}

Solution

27

Solution steps

(e^{l n (3)})^{3}

Apply exponent rule:

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

= e^{l n (3) \cdot 3}

Apply exponent rule:

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

= (e^{l n (3)})^{3}

Apply log rule:

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

e^{l n (3)} = 3

= 3^{3}

3^{3} = 27

= 27

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Frequently Asked Questions (FAQ)

What is (e^{ln(3)})^3 ?
The solution to (e^{ln(3)})^3 is 27