Question

the units digits in the product of (101)^101×(102)^(103)^103 is​

Answer 1

Unit digit of the product $101^{101}$×$102^{103^{103} }$ will be 4.

Step 1: Solve the equation by observation.

Given - $101^{101}$×$102^{103^{103} }$

we can't solve this much lengthy values so, we will observe the last digits.

As we know that, $11^{11}$ = its last digit will be 1.

                            $21^{21}$ = its last digit will also be 1.

so, by this observation we can understand that last digit of $101^{101}$ will also be 1.

similarly,

                $103^{103}$ = last digit will be 7

so,          $102^{ending with 7}$ = last digit will be 4

so, if we multiply their last digits as 1 and 4 we will get unit digit as 4.