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Revision: Number System >> Exponents Maths ICSE ICSE Class 8 CISCE

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Definitions [1]

Exponents: An exponent is a numerical notation that indicates the number of times a number is to be multiplied by itself. Exponent is also called as power or index. Example, 75.

Theorems and Laws [1]

Prove that:

`("m"+"n")^-1("m"^-1+"n"^-1)=("m""n")^-1`

`"L"."H"."S".  ("m"+"n")^-1("m"^-1+"n"^-1)`

= `1/("m"+"n")(1/"m"+1/"n")`

= `1/("m"+"n").("n"+"m")/("m""n")`

= `1/("m""n"`

= `("m""n")^-1`

= R.H.S.

Hence, proved.

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