Question 77

In the following question, state whether the statement is True (T) or False (F):

On dividing $\frac{p}{3}$ by $\frac{3}{p}$ , the quotient is 9 ?

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Solution

False
We have, $\frac{p}{3} / \frac{3}{p} = \frac{p}{3} \times \frac{p}{3} = \frac{1}{9} p^{2}$ $[∵ r e c i p r o c a l o f \frac{3}{p} i s \frac{p}{3}]$
Hence, the quotient is $\frac{1}{9} p^{2}$ .

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Exponents with like Bases

Standard VIII Mathematics

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Question 77 In the following question, state whether the statement is True (T) or False (F): On dividing p3 by 3p, the quotient is 9 ?

False We have, p3/3p=p3×p3=19p2 [∵reciprocal of3p is p3] Hence, the quotient is 19p2.

Question 77

In the following question, state whether the statement is True (T) or False (F):

On dividing $\frac{p}{3}$ by $\frac{3}{p}$ , the quotient is 9 ?

False
We have, $\frac{p}{3} / \frac{3}{p} = \frac{p}{3} \times \frac{p}{3} = \frac{1}{9} p^{2}$ $[∵ r e c i p r o c a l o f \frac{3}{p} i s \frac{p}{3}]$
Hence, the quotient is $\frac{1}{9} p^{2}$ .