Multiplying and Dividing
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
Rewrite 8 with a base 2 and an exponent.
23
x1/3 can be rewritten in radical form. What root of x is taken?
Cubic
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
Rewrite 27 with a base 3 and an exponent.
33
Evaluate 3-2
1/9
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 is the name of this exponent property:
(xm)n = xmn
Power of a Power Property
Rewrite 32 with a base of 2 and an exponent
25
24x = 16, what is x?
x = 1
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 is the name of this property?
am x an = am+n
Product of Powers Property
Evaluate 8x/25
23x-5
If x3 = y9, what is x in terms of y?
y3
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
What is the name of this property?
am/an = am-n
Quotient of Powers Property
Evaluate (125x )(5y)
53x-y
In this equation, what is the value of x-y?
2x/2y = 16
4