Exponential Notation Exponents...Powerful Little Critters!

Laws of Exponents If you multiply with like bases, you add the exponents Ex) a 7 a a 6 Ex) (5a 4 b)(–3a 6 b)(2abc) a 14 –30a 11 b 3 c (5 –3 2)(a 4 a 6 a)(b b b)(c)

Laws of Exponents If you divide with like bases, you subtract the exponents Ex) d 17 d 9 Ex) e 6 e 8 Ex) 3f 4 g 6 6fg 8 Ex) –15d 3 e 9 f 5d 6 e 5 fg d 8 1 e 2 1f 3 2g 2 –3e 4 d 3 g

Zero Exponent Anything to the zero power is equal to 1 Ex) (–3x 7 y) 0 Ex) z 0 1 Ex) 2y 0 1 2(1) 2

Raising to a Power If there is an exponent outside of the parenthesis, write out that many number of times and then follow the laws of exponents EX) (7a 8 b) 4 (7a 8 b) EX) (– 6m 9 np 5 ) 3 (– 6m 9 np 5 ) – 216m 27 n 3 p 15 (– 6m 9 np 5 ) (7a 8 b) 7a 32 b 4

Negative Exponents To write using positive exponents, take the reciprocal and make the exponent a positive number Ex) 8 – 5 Ex)2Ex) m – 7 c – 4 n – 9 1 2c 4 n m 7