3 × 7^22 + 2 × 10^22 – 44 when divided by 18 leaves the remainder __________.

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21/01/2022 2:34 pm

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Shilpi98

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3 × 7²² + 2 × 10²² – 44 when divided by 18 leaves the remainder __________.

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21/01/2022 2:36 pm

Riya08

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= 3(1 + 6)²² + 2 ×(1 + 9)²² – 44

= (3 + 2 – 44) = 18 .I

= –39 + 18.I

= (54 – 39) + 18(I – 3)

= 15 + 18 I₁

⇒ Remainder = 15.

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