簡約 (6d^8)/((2d^2)^3)

解

簡約

\frac{6 d ^{8}}{( 2 d ^{2} ) ^{3}}

\frac{3 d ^{2}}{4}

解答ステップ

\frac{6 d ^{8}}{( 2 d ^{2} ) ^{3}}

簡素化

(2 d^{2})^{3} : 2^{3} d^{6}

= \frac{6 d ^{8}}{2 ^{3} d ^{6}}

数を因数に分解する:

6 = 2 \cdot 3

= \frac{2 \cdot 3 d ^{8}}{2 ^{3} d ^{6}}

\frac{2}{2 ^{3}} = \frac{1}{2 ^{2}}

= \frac{3 d ^{8}}{2 ^{2} d ^{6}}

簡素化

\frac{d ^{8}}{d ^{6}} : d^{2}

= \frac{3 d ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{3 d ^{2}}{4}