Question

the answer is 1 please explain​

Answer 1

$( (\frac{1}{2}) ^{ - 1} - ( \frac{1}{3}) ^{ - 1} ) ^{ - 2} = (2 - 3) ^{ - 2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( - 1) ^{ - 2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( - 1)^{2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1$

Properties of powers used in this question

• (a/b)^-1 = (b/a)¹ = b/a

• ( - 1 ) ^-2 = (-1/1)² = (-1)² = 1

Answer 2

Answer:

1

Step-by-step explanation:

First we will do reciprocal of 1/2 and 1/3 as it has a negative power

So, (2-3)-2

(-1)-2

Now we will do reciprocal of -1 as it has a negative power

So, (-1/1)2 = 1

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