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Question

For x=47 and y=313, verify that: (x×y)1=x1×y1 [4 MARKS]

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Solution

Concept : 1 Mark
Simplification : 2 Marks
Verification : 1 Mark

We have, x=47,y=313

Now, (x×y)1=(47×313)1

=(4×37×13)1

=(1291)1

=9112

Again, x1×y1=(47)1×(313)1

=74×133

=7×134×3

=9112

(x×y)1=x1×y1

hence, we have verified the result.

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