Question

Question 128(iii)

Predicting the ones digit, copy and complete this table and answer the questions that follow.

Powers Table
$\begin{array}{ccccccccccc}X& 1^x& 2^x& 3^x& 4^x& 5^x& 6^x& 7^x& 8^x& 9^x& {10}^x\\ 1& 1& 2& & & & & & & & \\ 2& 1& 4& & & & & & & & \\ 3& 1& 8& & & & & & & & \\ 4& 1& 16& & & & & & & & \\ 5& 1& 32& & & & & & & & \\ 6& 1& 64& & & & & & & & \\ 7& 1& 128& & & & & & & & \\ 8& 1& 256& & & & & & & & \\ Onesdigitsofthepowers& 1& 2,4,6,8& & & & & & & & \end{array}$

Predict the ones digit in the following.
$\left(i\right){31}^{10}$
$\left(ii\right){12}^{10}$
$\left(iii\right){17}^{21}$
$\left(iv\right){29}^{10}$

Answer 1

Predict the ones digit in the following.
$\left(i\right)Onesdigitin{31}^{10}is1$
$\left(ii\right)Onesdigitin{12}^{10}is4$
$\left(iii\right)Onesdigitin{17}^{21}is7$
$\left(iv\right)Onesdigitin{29}^{10}is1$