Question

If (p^{3}\times p^{-2})\times(q^{5}\times q^{-3})=50 , then what are the values of p and q?



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Answer 1

Answer:

option 1 is correct

Step-by-step explanation:

...............

(p³xp-²)(q⁵xq-³) = 50

(p³-²)(q⁵-³) = 50

p¹q² = 2 x 5 x 5

pq² = 2x5²

on comparing

p = 2 and q = 5 ans

Answer 2

Answer:

According to question

(p^3×p^-2)×(q^5×q^-3)=50

Now, using the property, When bases are same then the powers are added

Here bases are p & q with powers 3,-2 & 5,-3 respectively

= (p^3×p^-2)×(q^5×q^-3)=50

= {(p)^3+(-2)} × {(q)^5+(-3)} = 50

= {(p)^3-2} × [(q)^5-3] = 50

= (p)^1 × (q)^2 = 50

= p × (q)^2 =50

Using the values given in question we find that Option 1 is correct.

= p × (q)^2 = 50

= p=2 , q=5

putting values

= (5) × (5)^2 = 50

= 5 × 25 = 50

= 50 =50

HENCE, PROVED