Question

verify the following
$(( \frac{2}{3} ) {}^{ - 1} + \frac{1}{2} - ( \frac{3}{4} ) {}^{ 2} ) {}^{ - 1} ) = \frac{16}{23}$
​

Answer 1

Step-by-step explanation:

L.H.S ---

As, (a/b) ^-1 = (b/a)^1

{ (2/3)^ -1 + 1/2 - (3/4)²} ^-1

{ 3/2 + 1/2 - 9/16 } ^-1

{ 4/2 - 9/16}^-1

{ 2 - 9/16} ^-1

{ 27/16} ^-1

16/23

R.H.S. ---16/23

Hence,. verified.

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