Question

VERIFY a*(b*c)=(a*b)*c When a=-2/3 b=1/-4 c=3/5

Answer 1

Question: Verify a (b × c ) = (a × b) c when a = $\frac{-2}{3}$ , b = $\frac{1}{-4}$ and c = $\frac {3}{5}$

$\boxed {\boxed{\large {\mathbb {Solution:-}}}}$

a ( b × c ) = ( a × b ) c

Now,

Put the values

we get,

$\huge\blue {L.H.S}$

$\frac{-2}{3} ×(\frac{1}{-4} ×\frac {3}{5})</p><p>$

$\implies$ $\frac {-2}{3}×(\frac{3}{-20})$

$\implies$ $\frac {1}{10}$

$\huge\blue {R.H.S}$

$(\frac {-2}{3} × \frac {1}{-4})× \frac {3}{5}$

$\implies$$\frac {-2}{-12} × \frac {3}{5}$

$\implies$ $\frac {1}{10}$

Therefore,

L.H.S = R.H.S = $\frac {1}{10}$

Proved ✔

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$\huge\mathcal\orange{THANKS}$