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Popular >

simplify sqrt(e^{3ln(4))}

Solution

simplify

e^{3 l n (4)}

Solution

8

Solution steps

e^{3 l n (4)}

Apply radical rule:

a = a^{\frac{1}{2}}

= (e^{3 l n (4)})^{\frac{1}{2}}

Apply exponent rule:

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

= e^{3 l n (4) \frac{1}{2}}

3 ln (4) \frac{1}{2} = 3 ln (2)

= e^{3 l n (2)}

Apply exponent rule:

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

= (e^{l n (2)})^{3}

Apply log rule:

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

e^{l n (2)} = 2

= 2^{3}

2^{3} = 8

= 8

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Frequently Asked Questions (FAQ)

What is sqrt(e^{3ln(4))} ?
The solution to sqrt(e^{3ln(4))} is 8