Maths ch1 pg1.35 q5 SM
Plz explain in detail step by step
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ty009:
this Q?
Answers
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ANSWER:
![\bf (a) 1 \bf (a) 1](https://tex.z-dn.net/?f=+%5Cbf+%28a%29+1)
STEP-BY-STEP VERIFICATION:
![{( {x}^{\frac{1}{a - b} } )}^{ \frac{1}{a - c} } \times {( {x}^{\frac{1}{b - c} } )}^{ \frac{1}{b - a} } \times {( {x}^{\frac{1}{c - a} } )}^{ \frac{1}{c- b} } {( {x}^{\frac{1}{a - b} } )}^{ \frac{1}{a - c} } \times {( {x}^{\frac{1}{b - c} } )}^{ \frac{1}{b - a} } \times {( {x}^{\frac{1}{c - a} } )}^{ \frac{1}{c- b} }](https://tex.z-dn.net/?f=+%7B%28+%7Bx%7D%5E%7B%5Cfrac%7B1%7D%7Ba+-+b%7D+%7D+%29%7D%5E%7B+%5Cfrac%7B1%7D%7Ba+-+c%7D+%7D+%5Ctimes+%7B%28+%7Bx%7D%5E%7B%5Cfrac%7B1%7D%7Bb+-+c%7D+%7D+%29%7D%5E%7B+%5Cfrac%7B1%7D%7Bb+-+a%7D+%7D+%5Ctimes+%7B%28+%7Bx%7D%5E%7B%5Cfrac%7B1%7D%7Bc+-+a%7D+%7D+%29%7D%5E%7B+%5Cfrac%7B1%7D%7Bc-+b%7D+%7D+)
![= {x}^{ \frac{1}{(a - b)(a - c)} } \times {x}^{ \frac{1}{(b- c)(b- a)} } \times {x}^{ \frac{1}{(c - a)(c - b)} } = {x}^{ \frac{1}{(a - b)(a - c)} } \times {x}^{ \frac{1}{(b- c)(b- a)} } \times {x}^{ \frac{1}{(c - a)(c - b)} }](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B%28a+-+b%29%28a+-+c%29%7D+%7D+%5Ctimes+%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B%28b-+c%29%28b-+a%29%7D+%7D+%5Ctimes+%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B%28c+-+a%29%28c+-+b%29%7D+%7D+)
![= {x}^{ \frac{1}{(a - b)(a - c)} +{ \frac{1}{(b - c)( b- a)} } +{ \frac{1}{(c- a)(c - b)} } } = {x}^{ \frac{1}{(a - b)(a - c)} +{ \frac{1}{(b - c)( b- a)} } +{ \frac{1}{(c- a)(c - b)} } }](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B%28a+-+b%29%28a+-+c%29%7D+%2B%7B+%5Cfrac%7B1%7D%7B%28b+-+c%29%28+b-+a%29%7D+%7D+%2B%7B+%5Cfrac%7B1%7D%7B%28c-+a%29%28c+-+b%29%7D+%7D+%7D+)
![= {x}^{ \frac{1}{(a - b)(a - c)} - { \frac{1}{(b - c)( a - b)} } +{ \frac{1}{(a - c)(b - c)} } } = {x}^{ \frac{1}{(a - b)(a - c)} - { \frac{1}{(b - c)( a - b)} } +{ \frac{1}{(a - c)(b - c)} } }](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B+%5Cfrac%7B1%7D%7B%28a+-+b%29%28a+-+c%29%7D+-+%7B+%5Cfrac%7B1%7D%7B%28b+-+c%29%28+a+-+b%29%7D+%7D+%2B%7B+%5Cfrac%7B1%7D%7B%28a+-+c%29%28b+-+c%29%7D+%7D+%7D+)
![= {x}^{ \frac{(b - c) - (a - c) +(a - b) }{(a - b)(a - c)(b - c)} } = {x}^{ \frac{(b - c) - (a - c) +(a - b) }{(a - b)(a - c)(b - c)} }](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B+%5Cfrac%7B%28b+-+c%29+-+%28a+-+c%29+%2B%28a+-+b%29+%7D%7B%28a+-+b%29%28a+-+c%29%28b+-+c%29%7D+%7D+)
![= {x}^{ \frac{b - c - a + c +a - b }{(a - b)(a - c)(b - c)} } = {x}^{ \frac{b - c - a + c +a - b }{(a - b)(a - c)(b - c)} }](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B+%5Cfrac%7Bb+-+c+-+a+%2B+c+%2Ba+-+b+%7D%7B%28a+-+b%29%28a+-+c%29%28b+-+c%29%7D+%7D+)
![= {x}^{ \frac{0 }{(a - b)(a - c)(b - c)} } = {x}^{ \frac{0 }{(a - b)(a - c)(b - c)} }](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B+%5Cfrac%7B0+%7D%7B%28a+-+b%29%28a+-+c%29%28b+-+c%29%7D+%7D+)
![= {x}^{0} = {x}^{0}](https://tex.z-dn.net/?f=+%3D+%7Bx%7D%5E%7B0%7D+)
![= 1 = 1](https://tex.z-dn.net/?f=+%3D+1)
SO, THE ANSWER IS:
(A) 1
STEP-BY-STEP VERIFICATION:
SO, THE ANSWER IS:
(A) 1
Answered by
1
hope it helps I wrote in a rush
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