Product Rule for Exponents
Simplify using Laws of Exponents:
c · c5
c6
Simplify using Laws of Exponents:
(32) / (31)
3
Simplify using Laws of Exponents:
(w4)4
w16
What operation do we do to the exponents when we have the same bases being multiplied?
Product Rule.
Add the exponents.
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
b20
Simplify using Laws of Exponents:
(523) / (55)
518
Simplify using Laws of Exponents:
(2x2)3
8x6
What operation do we do to the exponents when we have the same bases being divided?
Quotient Rule.
Subtract the exponents.
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:
(x24)/(x3)
x21
Simplify using Laws of Exponents:
(b12)12
b144
What is the name of this exponent property:
(xm)n = xmn
Power Rule for Exponents
Rewrite 32 with a base of 2 and an exponent.
25
24x = 16, what is x?
x = 1
Simplify using Laws of Exponents:
(x25x13)
x38
Simplify using Laws of Exponents:
(Give answer as a number with no exponent.)
(68) / (64)
1,296
Simplify using Laws of Exponents:
(Simplify to smallest exponent form.)
810 / 25
225
What is the name of this property?
am x an = am+n
Product Rule for Exponents
Evaluate 8x/25
Simplify to one term with a base of 2.
23x-5
If x3 = y9, what is x in terms of y?
y3
Simplify using Laws of Exponents:
(Give answer as a number with no exponent.)
(32)(35)
2,187
Simplify using Laws of Exponents:
[(p5)(p10)] / (p5)
p10
Simplify using Laws of Exponents:
(-9s)(2s3)3
-72s10
What is the name of this property?
am/an = am-n
Quotient Rule for Exponents
Evaluate (125x)(5y)
Simplify to one term with a base of 5.
53x+y
In this equation, what is the value of x-y?
2x/2y = 16
4