Question

You are allowed to multiply as many 9s as you want. What will the last digit of the product be?

Answer 1

Using the powers of 9, it is found that the last digit of the product will always be either 1 or 9.

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The multiplication of as many 9's as you want is equivalent to the powers of 9, which are:

$9^2 = 9 \times 9 = 81$

$9^3 = 9 \times 9 \times 9 = 729$

$9^4 = 9 \times 9 \times 9 \times 9 = 6561$

$9^5 = 9 \times 9 \times 9 \times 9 \times 9= 59049$

....

$9^{10} = 3486784401$

Thus, the last digit of the products will always be either 1 or 9.

A similar problem is given at brainly.com/question/20692373

Answer 2

Answer:

It will either be 1 or 9.

Notes:

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