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Popular >

simplify (e^{1/2})^{ln(9)}

Solution

simplify

(e^{\frac{1}{2}})^{l n (9)}

Solution

3

Solution steps

(e^{\frac{1}{2}})^{l n (9)}

Apply exponent rule:

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

= e^{\frac{1}{2} l n (9)}

\frac{1}{2} ln (9) = ln (3)

= e^{l n (3)}

Apply log rule:

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

= 3

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Frequently Asked Questions (FAQ)

What is (e^{1/2})^{ln(9)} ?
The solution to (e^{1/2})^{ln(9)} is 3