If a = 3 and b = 2 , then (3 a-4 b)^ b-a (4 a-3 b)^ 2 b-a is equa… - Vidyadip

MCQ

If a = 3 and b = 2 , then $(3 a-4 b)^{b-a} \div(4 a-3 b)^{2 b-a}$ is equal to

A
1
B
6
✓
$1 / 6$
D
$2 / 3$

✓

Answer

Correct option: C.

$1 / 6$

(c)
For a = 3 and b = 2 we find that
$(3 a-4 b)^{b-a} \div(4 a-3 b)^{2 b-a}=(9-8)^{-1} \div(12-6)^1=(1)^{-1} \div(6)^1=1 \div 6=\frac{1}{6}$

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