The unit’s digit of 3^{1,001} \times 7^{1,002 }\times 13^{1,003} is

Problems based on Numbers Test 1

Question : 27 of 40

Marks: +1, -0

The unit’s digit of

3^{1,001} × 7^{1,002 }× 13^{1,003}

Solution:

Unit digit of

3^1001 =3^{4× 250} ×3^1 =3^1=3

Unit digit of

7^1002 =7^{4 ×250}×7^ 2 =9

Unit digit of

13^1003 =13^{4 ×250}×13^ 3= 7

The units digit of

3^{1,001} × 7^{1,002 }× 13^{1,003}

is 3 × 9 × 7 is equal to 9.

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