Multiplying Powers
32 x 33
Write answer in exponential form
35
What is the shortcut for Dividing Powers with the Same Base?
Keep the base, subtract exponents
What is the shortcut for raising a power to another power?
Keep base & multiply exponents
True or False: You can SOMETIMES leave an answer with a negative exponent
False, you can never
Combine:
am x an
am+n
54 x 53
Write answer in expanded form
5 x 5 x 5 x 5 x 5 x 5 x 5
38 / 33
Write answer in exponential form
35
(42)3
Write answer in exponential form
46
Find the reciprocal:
5-3
1 / 53
Combine:
am / an
am-n
22(22)
Write answer in standard form.
16
x6 / x2
Write answer in expanded form
x * x * x * x
(x3)2
Write answer in expanded form
x * x * x * x * x * x
7-3 x 7-5
Write in exponential form including the reciprocal
1 / 78
Solve:
(x-2)3
1 / x6
Jeremy keeps being told by the teacher that he is not able to use his shortcut method on this problem:
72 x 32
Who is correct and why?
The teacher because the bases are not the same
Write answer in exponential form
C7
(x6)3
Write answer in exponential form
x18
Solve and find the reciprocal:
x-7 / x-2
1 / x5
Combine and write into exponential form:
b5 x b-1
b4
82 x 8
Write answer in exponential form
83
x2 / x-3
Write answer in expanded form
x * x * x * x * x
(7-5)3
Write in exponential form
1 / 715
Find the reciprocal:
1 / 715
7-15
Combine powers and write into exponential form:
2-23 x 515
NO ANSWER