What is (7^{log_{7}(pi)})^{7.2} ?

The solution to (7^{log_{7}(pi)})^{7.2} is 3797.33649…

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simplify (7^{log_{7}(pi)})^{7.2}

simplify

(7^{l o g_{7} (π)})^{7.2}

3797.33649 \dots

Solution steps

(7^{l o g_{7} (π)})^{7.2}

Apply exponent rule:

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

= 7^{l o g_{7} (π) \cdot 7.2}

lo g_{7} (π) \cdot 7.2 = 4.23557 \dots

= 7^{4.23557 \dots}

7^{4.23557 \dots} = 3797.33649 \dots

= 3797.33649 \dots

4 \cdot e^{- 2}

e^{- 1. 2^{2}}

32.744 e^{- 0.252}

\frac{\frac{x ^{2}}{y}}{\frac{x}{y}}

\frac{1}{3} (7^{2} + 1)^{- \frac{2}{3}} \cdot 4

What is (7^{log_{7}(pi)})^{7.2} ?
The solution to (7^{log_{7}(pi)})^{7.2} is 3797.33649…