Question

Find the value of x^(-2) (as rational number) if x=(4/5)^(-2)÷(1/4)^2

Answer 1

Answer:

1/625

Step-by-step explanation:

x=(4/5)^(-2)÷(1/4)^2

x=(25/16)×(16/1)

x=25

x^(-2)=(25)^-2=(625)^(-1)=1/625

Answer 2

Answer:

Since the denominators are of same positive numbers we can add them directly

(i) -5/7 + 3/7 = (-5+3)/7 = -2/7

(ii) -15/4 + 7/4 = (-15+7)/4 = -8/4

Further dividing by 4 we get,

-8/4 = -2

(iii) -8/11 + -4/11 = (-8 + (-4))/11 = (-8-4)/11 = -12/11

(iv) 6/13 + -9/13 = (6 + (-9))/13 = (6-9)/13 = -3/13

Step-by-step explanation:

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