Assertion (A) : (-100)3 = -10,00,000 Reason (R) : (-p)q = pq; if q is even. 1. Both A and R are correct, and R is the correct explanation for A. 2. Both A and R are correct, and R is not the correct explanation for A. 3. A is true, but R is false. 4. A is false, but R is true.

Mathematics

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According to assertion : (-100)³ = -10,00,000

Solving L.H.S.,

⇒ (-100)³

⇒ (-100) x (-100) x (-100)

⇒ -10,00,000

As, L.H.S. = R.H.S.

So, assertion (A) is true.

We know that,

(-p)^q = p^q; if q is even because the negative sign is raised to an even power and thus becomes positive.

So, reason (R) is true but reason does not explains assertion.

Hence, option 2 is the correct option.

Answered By

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