Assertion (A): (3/7 )^-2 = 49/9. Reason (R): Dividing by a fraction is the same as multiplying by its reciprocal. Choose the correct option.

Question

Accepted Answer

Both A and R are true, but R is not the correct explanation of A. A is true: (3/7 )^-2 = (7/3 )^2 = 49/9. R is a true statement too, but it is about dividing by a fraction, while the law that actually justifies A is (a/b )^-n = (b/a )^n. A reason can be true without being the explanation.

Assertion (A): $(\frac{3}{7})^{- 2} = \frac{49}{9}$ . Reason (R): Dividing by a fraction is the same as multiplying by its reciprocal. Choose the correct option.

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More Class 8 Exponents and Powers practice

Assertion (A): (73​)−2=949​. Reason (R): Dividing by a fraction is the same as multiplying by its reciprocal. Choose the correct option.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Exponents and Powers practice

Assertion (A): $(\frac{3}{7})^{- 2} = \frac{49}{9}$ . Reason (R): Dividing by a fraction is the same as multiplying by its reciprocal. Choose the correct option.