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Popular >

simplify (sqrt(3))^{2.7}

Solution

simplify

(3)^{2.7}

Solution

4.40670 \dots

Solution steps

(3)^{2.7}

Apply radical rule:

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

= (3^{\frac{1}{2}})^{2.7}

Apply exponent rule:

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

= 3^{\frac{1}{2} \cdot 2.7}

\frac{1}{2} \cdot 2.7 = 1.35

= 3^{1.35}

3^{1.35} = 4.40670 \dots

= 4.40670 \dots

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Frequently Asked Questions (FAQ)

What is (sqrt(3))^{2.7} ?
The solution to (sqrt(3))^{2.7} is 4.40670…