What is (8^{log_{8}(pi)})^{5.6} ?

The solution to (8^{log_{8}(pi)})^{5.6} is 608.19001…

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simplify (8^{log_{8}(pi)})^{5.6}

simplify

(8^{l o g_{8} (π)})^{5.6}

608.19001 \dots

Solution steps

(8^{l o g_{8} (π)})^{5.6}

Apply exponent rule:

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

= 8^{l o g_{8} (π) \cdot 5.6}

lo g_{8} (π) \cdot 5.6 = 3.08279 \dots

= 8^{3.08279 \dots}

8^{3.08279 \dots} = 608.19001 \dots

= 608.19001 \dots

(2 c^{4}) (8 c^{5})

2^{11}

(2 x^{5} y^{3}) (3 x^{3} y)

4.1 \cdot 1 0^{- 5}

What is (8^{log_{8}(pi)})^{5.6} ?
The solution to (8^{log_{8}(pi)})^{5.6} is 608.19001…