2. What is 334? 334= (3*3*3)*(3*3*3)*(3 *3* 3)*(3*3*3) = 312 What is the pattern?

3. Multiplying Monomials To raise a power to a power, you multiply the exponents and keep the same base.

4. Power of a Power For all real numbers b and all positive integers m and n, (bm)n = bmn

5. Try some: (c7)5 (y3)10 (x3)3 (a21)2

6. What about (2x)3 ? (2x)3 = 2x * 2x * 2x = (2 * 2 * 2) * (x * x * x) = 23 * x3 = 8x3 To find the power of a product, raise each factor to that power.

7. Power of a Product For all real numbers a and b and all positive integers, abm= ambm

8. Notice: Do not confuse (2x)3 and 2x3 (2x)3 means 2x * 2x * 2x 2x3 means 2 * x * x * x

9. Try some: (-4c)3 (-xy2)4 -4x(5x3)2 (-2a4b6)5

10. Turn to page 205 Do 1-16