The last digit of 2^{9} cdot 5^{135} is ..... | vedclass

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(C) To find the last digit of the expression $2^{9} \cdot 5^{135}$,we can rewrite the expression by grouping the factors of $2$ and $5$.We know that $

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(C) To find the last digit of the expression $2^{9} \cdot 5^{135}$,we can rewrite the expression by grouping the factors of $2$ and $5$.We know that $2 \cdot 5 = 10$.We can express $2^{9} \cdot 5^{135}$ as $2^{9} \cdot 5^{9} \cdot 5^{126}$.This simplifies to $(2 \cdot 5)^{9} \cdot 5^{126} = 10^{9} \cdot 5^{126}$.Since $10^{9}$ is a number ending in $9$ zeros,and $5^{126}$ is a number ending in $5$ (because any power of $5$ ends in $5$),the product $10^{9} \cdot 5^{126}$ will end in $9$ zeros.Therefore,the last digit of the expression is $0$.

The last digit of $2^{9} \cdot 5^{135}$ is ..............

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