What is 1 1/6 cd*(-6/7 c^9d^7) ?

The solution to 1 1/6 cd*(-6/7 c^9d^7) is -c^{10}d^8

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simplify 1 1/6 cd*(-6/7 c^9d^7)

simplify

1 \frac{1}{6} c d \cdot (- \frac{6}{7} c^{9} d^{7})

- c^{10} d^{8}

Solution steps

1 \frac{1}{6} c d \cdot (- \frac{6}{7} c^{9} d^{7})

Convert mixed numbers to improper fractions:

1 \frac{1}{6} = \frac{7}{6}

= \frac{7}{6} c d \cdot (- \frac{6}{7} c^{9} d^{7})

Apply rule:

a (- b) = - ab

\frac{7}{6} c d (- \frac{6}{7} c^{9} d^{7}) = - \frac{7}{6} c d \frac{6}{7} c^{9} d^{7}

= - \frac{7}{6} c d \frac{6}{7} c^{9} d^{7}

Simplify

c c^{9} : c^{10}

= - \frac{7}{6} c^{10} d \frac{6}{7} d^{7}

Simplify

d d^{7} : d^{8}

= - \frac{7}{6} c^{10} d^{8} \frac{6}{7}

Simplify

- \frac{7}{6} c^{10} d^{8} \frac{6}{7} : - c^{10} d^{8}

= - c^{10} d^{8}

\frac{2}{30}

2 x^{2} - 10 x + 8

(2 - x) (x + 2)

- \frac{1}{3}

2^{- 2} + 3^{2}

What is 1 1/6 cd*(-6/7 c^9d^7) ?
The solution to 1 1/6 cd*(-6/7 c^9d^7) is -c^{10}d^8