Question

evaulate a power x-y *a power y-z *a power z-x

Answer 1

Step-by-step explanation:

7th

>Maths

>Exponents and Powers

>Applications of Laws of Exponents

>If a^x - 1 = bc, b^y - 1 = ...

Maths



If ax−1=bc,by−1=ac,cz−1=ab, then find the value of xy+yz+zx−xyz.

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We have,

ax−1=bc

aax=abc

ax=abc

a=(abc)1/x   …(1)

 

Similarly,

b=(abc)1/y    …(2)

c=(abc)1/z     …(3)

 

Multiply (1),(2),(3)

abc=(abc)1/x.(abc)1/y.(abc)1/z

abc=(abc)1/x+1/y+1/z

∴ x1+y1+