Simplify {(1/3)^-2 -(1/2)^-2 } / (1/4)^-2

-20/9

Step-by-step explanation:

you need to know that terms with negative exponents go into the denominator and then the exponent becomes positive

you also need to remember that, when dividing fractions, you multiply by the reciprocal

example:  ()^-3 = 1/125

{(1/3)^-2 -(1/2)^-2 } / (1/4)^-2

simplify terms, one at a time:

(1/3)^-2  = (1/3)^2 = 1/9

(1/2)^-2  = (1/2)^2 = 1/4

(1/4)^-2 = (1/4)^2 =  1/16  

1/9 - 1/4 = 4/36 - 9/36 = -5/36

-5/36 ÷ 1/16 =  -5/36 · 16/1  =  -20/9

the fist one is not equalvalent but i think th second one isand the third isnt definetly or the last one is i think. hope this !

step-by-step explanation: