Multiplying and Dividing Monomials 1
Simplify using Laws of Exponents: c · c5
c6
Simplify using Laws of Exponents: (32)5
310
Simplify using Laws of Exponents:(-2w4)(5w)
-10w5
Simplify using Laws of Exponents: (5j6)4
625j24
What do we do to the exponents when we have the same bases being multiplied?
Add them
Simplify using Laws of Exponents: b12 / b8
b4
Simplify using Laws of Exponents: (53)5
515
Simplify using Laws of Exponents: 4x9 / 2x5
2x4
Simplify using Laws of Exponents: (8v9)5
32768v45
What do we do to the exponents when we have the same bases being divided?
Subtract them
Simplify using Laws of Exponents: d22 · d12
d34
Simplify using Laws of Exponents: (x4)3
x12
Simplify using Laws of Exponents: (6b12)(3b2)
18b14
Simplify using Laws of Exponents: (-3a5b12)5
-243a25b60
What do we do to the exponents when we have DIFFERENT bases being multiplied?
Multiply the numbers, and then use exponent rules (add them)
Simplify using Laws of Exponents: x25 / x13
x12
Simplify using Laws of Exponents: (68)4
632
Simplify using Laws of Exponents: -8r10 / 2r5
-4r5
Simplify using Laws of Exponents: (7a5b6)4
2401a20b24
What do we do to the exponents when we have DIFFERENT bases being divided?
Divide the numbers, then use exponent rules (subtract them)
Simplify using Laws of Exponents: a30 / a20
a10
Simplify using Laws of Exponents: (p5)10
p50
Simplify using Laws of Exponents: (-9s)(2s3)
-18s4
Simplify using Laws of Exponents: (-5a2b7)7
-78125a14b49
Challenge problem: Charmaine and Aaron are having a debate. Charmaine thinks the answer to their math homework is (42)4, but Aaron says the answer is (44)2. Explain how both Charmaine and Aaron can be correct.
Because we are multiplying the exponents, it doesn't matter whether you do 2 times 4 or 4 times 2, they will be the same answer.