1.2 Powers and Roots

Simplify the following using index notation.

1.

$5×5×5×5=$
$= 5 4$

2.

$9×9×9=$
$= 9 3$

3.

$7×7×7×7×7×7×7×7×7=$
$= 7 9$

Write the following indices as an integer.

4.
$2 4 =$
$=2×2×2×2 =16$
6.
$10 5 =$
$=10×10×10×10×10 =100,000$
5.
$5 3 =$
$=5×5×5 =125$
7.
$2 6 =$
$=2×2×2×2×2×2 =64$

## General rules for indices/powers

How many times has the base number been multiplied by itself? This will become the power.