Question

verify the property a×(b×c)=(a×b)×c by taking

a=5/7,b=-12/13,c=-7/18
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Answer 1

$\huge\boxed{\fcolorbox{#7fff00}{white}{Hello Dear}}$$\huge\bold\pink{{{{{{Answer}}}}}}$

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solution~

By using the property

${a×(b×c)=(a×b)×c}$

$5/7 × {(-12/13 × -7/18)}$ =${(5/7 × -12/13) × -7/18}$

${(5×-12×-7)/(7×13×18)}$ =${(5×-12×-7)/(7×13×18)}$

${420/1638 = 420/1638}$

Hence, the property is satisfied.

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Answer 2

Step-by-step explanation:

$\boxed{a \times (b \times c) = (a \times b) \times c} \\ \implies \frac{5}{7} \times ( \frac{ - 12}{13} \times \frac{ - 7}{18} ) = (\frac{5}{7} \times \frac{ - 12}{13} )\times \frac{ - 7}{18} \\ \implies \frac{5}{7} \times ( \frac{14}{39} ) = ( \frac{ - 60}{91} ) \times \frac{ - 7}{18} \\ \implies \frac{5}{7 } \times \frac{14}{39} = \frac{ - 60}{91} \times \frac{ - 7}{18} \\ \implies \frac{10}{39} = \frac{10}{39}$

L. H. S = R. H. S. . So, it is verify.