evaulate a power x-y *a power y-z *a power z-x
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7th
>Maths
>Exponents and Powers
>Applications of Laws of Exponents
>If a^x - 1 = bc, b^y - 1 = ...
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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+
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