1. Exponent
Base · 53 = 55
If the numerical bases are the same, keep the base and add the exponents.

2. If the bases are different, multiply the bases
If the bases are different, multiply the bases. If the base does not have an exponent, the exponent is one.

3. Rules of Exponents
When multiplying bases, add exponents.
When dividing bases, subtract exponents.
When a raising a power to a power, multiply the exponents.

4. Examples:
3x2 · 4x8
3·4·x·x · x·x·x·x·x·x·x·x
12x10
-2x3y2 · 8x4y3
-16x7y5

5. a3b2 · 4a2b4
28a5b6
4. -3bc3 · 5b3c2
-15b4c5
5. X5 x3
x·x·x·x·x
x·x·x x2

6. 23·34·45
22·32·44
2·32·4 72
45·57·69
43·55·67
42·52·62
14,400 y6 y3
a8b6
a5b5
a3b
8. 8x5y6
4x3y4
2x2y2
15a7b9
3a3b6
5a4b3

7. 93·84·73
92·82·72
9·82·7
4032

8. Practice
4a4b6 · 3a2b3
2. 5x8y3 · 3xy4
3. b9c4
b6c2
4. 10x5y8
2x4y6
25 ·36 ·45
23 ·33 ·44

9. 6. (3a2)3
(b3)4
(4x4)5
(5c3d3)3
(8r5t6)3