Advertisement Remove all ads

Evaluate : ((X^Q)/(X^R))^(1/(Qr)) Xx ((X^R)/(X^P))^(1/(Rp)) Xx ((X^P)/(X^Q))^(1/(Pq)) - Mathematics

Sum

Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`

Advertisement Remove all ads

Solution

`((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`

= `(x^(q xx 1/(qr)))/( x^(r xx 1/(qr))) xx (x^(r xx 1/(rp)))/(x^(p xx 1/(rp))) xx (x^(p xx 1/(pq)))/(x^(q xx 1/(pq)))`

= `(x^(1/r))/(x^(1/q)) xx (x^(1/p))/(x^(1/r)) xx (x^(1/q))/(x^(1/p))`

= 1

Concept: Simplification of Expressions
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 7 Indices (Exponents)
Exercise 7 (C) | Q 14 | Page 101
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×