Question

multiplicative inverse of (1/2)^-2

Answer 1

Answer:

2/1

Step-by-step explanation:

reciprocal = multiplicative inverse

Answer 2

Question & Find :-

$\rm Find \: \: the \: \: Multiplicative \: \: inverse \: \: of \: \: (\dfrac{1}{2}) ^{ - 2}$

How to solve this ?

→ For solving this we need to know Exponents & Exponents Laws . Basically , for solving this we need to know some of them . So, let's see

------------------------------------------------------------

${\huge 1)} \: \: \rm(\dfrac{a}{b})^{ - m} = (\dfrac{b}{a})^{m}$

Now , we will have to apply this above rule that is we have to make the power which is negative to positive . To make it we need to just flip or invert the fraction as done above .

So, that's it the rule we needed to know

Now let's solve :-

------------------------------------------------------------

$\sf (\dfrac{1}{2})^{ - 2}$

Removing the negative sign to positive one . And making the fraction invert.

$\longmapsto \sf 2^{ 2}$

$\longmapsto \sf 2 \times 2$

$\rm\longmapsto \bf 4$

Now , 4 is not the ans . Because it was asked to find multiplicative inverse of the answer so, answer is 4 and also we have to find multiplicative inverse of 4 . So, multiplicative inverse of 4 is 1/4

${ \huge \therefore} \:\sf \: Multiplicative \: inverse \: of \: 4 \: is \: \bf \dfrac{1}{4} \star$