簡約 (1/4)^{-5^{log_{2}(3)}}

解

簡約

(\frac{1}{4})^{- 5^{l o g_{2} (3)}}

4^{5^{l o g_{2} (3)}}

十進法表記

52188853.98020 \dots

解答ステップ

(\frac{1}{4})^{- 5^{l o g_{2} (3)}}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

(\frac{1}{4})^{- 5^{l o g_{2} (3)}} = \frac{1}{( \frac{1}{4} ) ^{5^{l o g_{2} (3)}}}

= \frac{1}{( \frac{1}{4} ) ^{5^{l o g_{2} (3)}}}

(\frac{1}{4})^{5^{l o g_{2} (3)}} = \frac{1}{4 ^{5^{l o g_{2} (3)}}}

= \frac{1}{\frac{1}{4 ^{5^{l o g_{2} (3)}}}}

\frac{1}{\frac{1}{4 ^{5^{l o g_{2} (3)}}}} = 4^{5^{l o g_{2} (3)}}

= 4^{5^{l o g_{2} (3)}}