Question
\(\left(\frac{x^{b}}{x^{c}}\right)^{(b+c-a)}.\left(\frac{x^{c}}{x^{a}}\right)^{(c+a-b)}. \left(\frac{x^{a}}{x^{b}}\right)^{(a+b-c)} = ?\)
Answer: Option B
Was this answer helpful ?
Given Exp. = \(x^{(b-c)(b+c-a)}.x^{(c-a)(c+a-b)}.x^{(a-b)(a+b-c)}\)
= \( x^{(b-c)(b+c)-a(b-c)}. x^{(c-a)(c+a)-b(c-a)}. x^{(a-b)(a+b)-c(a-b)}\)
= \(x^{(b^{2}-c^{2}+c^{2}-a^{2}+a^{2}-b^{2})} . x^{-a(b-c)-b(c-a)-c(a-b)}\)
= \(\left(x^{0}\times x^{0}\right)\)
= \(\left(1\times1\right) = 1\)
Was this answer helpful ?
More Questions on This Topic :
Question 2. (17)3.5 × (17)? = 178....
Question 5. If 5a = 3125, then the value of 5(a - 3) is:....
Question 7. (256)0.16 × (256)0.09 = ?....
Question 8. The value of [(10)150 ÷ (10)146]....
Question 9. **Hidden Equation**
Question 10. (25)7.5 × (5)2.5 ÷ (125)1.5 = 5?....
Latest Videos
Latest Test Papers
Submit Solution