簡約 (5^{12}c^{10}d^2)/(5^9*c^9)

解

簡約

\frac{5 ^{12} \cdot c ^{10} \cdot d ^{2}}{5 ^{9} \cdot c ^{9}}

125 c d^{2}

解答ステップ

\frac{5 ^{12} c ^{10} d ^{2}}{5 ^{9} c ^{9}}

\frac{5 ^{12}}{5 ^{9}} = 5^{3}

= \frac{5 ^{3} c ^{10} d ^{2}}{c ^{9}}

簡素化

\frac{c ^{10}}{c ^{9}} : c

= 5^{3} c d^{2}

5^{3} = 125

= 125 c d^{2}