Computing Powers

Powers help to simplify multiplication when something is multiplied by itself many times.


x \cdot x \cdot x \cdot x = x^4

x \cdot x \cdot y \cdot y \cdot y =x^2 y^3

Computing a power means we carry out the multiplication

Step 1: Write out or expand the power

Step 2: Multiply through the numbers

Example: Compute 2^6

Multiplication trees help to organize numbers

Example 2: Compute 3^5