### Home > AC > Chapter 1 > Lesson 1.2.2 > Problem1-56

1-56.

Copy the pattern below and continue the pattern for successive powers of $3$.

$\begin{array}{l} 3^1=3\\ 3^2=9\\ 3^3=\text{___}\\ 3^4=\text{___}\\ \qquad.\\ \qquad .\\ \qquad .\\ 3^9=\text{___} \end{array}$

1. In a sentence or two, describe a pattern formed by the units digits (the “ones”) of the numbers in the pattern.

Look for repeating numbers.

2. $3^1=3$. List the next three powers of $3$ for which the ones place is a $3$.

Look at the pattern in (a) and use it to solve (b).

Multiply the previous answer by $3$.

$3^3=27$
$3^4=81$
$3^5=243$
$3^6=729$
Now find $3^7$, $3^8$, and $3^9$ on your own.