簡約 (8/4)^{1.2}2.110^{-9}*10

解

簡約

(\frac{8}{4})^{1.2} \cdot 2.1 \cdot 1 0^{- 9} \cdot 10

\frac{21}{1000000000} \cdot 2^{1.2}

十進法表記

4.82453 E - 8

解答ステップ

(\frac{8}{4})^{1.2} \cdot 2.1 \cdot 1 0^{- 9} \cdot 10

数を乗じる:

2.1 \cdot 10 = 21

= (\frac{8}{4})^{1.2} \cdot 21 \cdot 1 0^{- 9}

= 1 0^{- 9} \cdot 21 (\frac{8}{4})^{1.2}

1 0^{- 9} = \frac{1}{1000000000}

= \frac{1}{1000000000} \cdot 21 (\frac{8}{4})^{1.2}

指数の規則を適用する:

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

(\frac{8}{4})^{1.2} = \frac{8 ^{1.2}}{4 ^{1.2}}

= \frac{1}{1000000000} \cdot 21 \cdot \frac{8 ^{1.2}}{4 ^{1.2}}

\frac{8 ^{1.2}}{4 ^{1.2}} = 2^{1.2}

= \frac{1}{1000000000} \cdot 21 \cdot 2^{1.2}

\frac{1}{1000000000} \cdot 21 \cdot 2^{1.2} = \frac{21}{1000000000} \cdot 2^{1.2}

= \frac{21}{1000000000} \cdot 2^{1.2}