What is (3^{log_{3}(pi)})^{6.8} ?

The solution to (3^{log_{3}(pi)})^{6.8} is 2402.25515…

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simplify (3^{log_{3}(pi)})^{6.8}

simplify

(3^{l o g_{3} (π)})^{6.8}

2402.25515 \dots

Solution steps

(3^{l o g_{3} (π)})^{6.8}

Apply exponent rule:

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

= 3^{l o g_{3} (π) \cdot 6.8}

lo g_{3} (π) \cdot 6.8 = 7.08545 \dots

= 3^{7.08545 \dots}

3^{7.08545 \dots} = 2402.25515 \dots

= 2402.25515 \dots

e^{- x} (- 1)

2 x (3 x)

- \frac{1}{2} e^{- 2 (- 1)}

\frac{( 2 x + 1 ) ^{2}}{x ^{2}}

(5 x^{5} - 7 y) (6 y^{4} z^{4})

What is (3^{log_{3}(pi)})^{6.8} ?
The solution to (3^{log_{3}(pi)})^{6.8} is 2402.25515…