Exponents
Identify the base: 32
3
You do this to the exponents to multiply powers with the same base.
Add
You do this to the exponents when dividing powers with the same base.
Subtract
You do this to the exponents when finding the power to a power.
Multiply
Any number raised to the zero power is
1
Identify the exponent 16
6
Simplify: 5256
58
Simplify: 25/22
23
Simplify: (z11)5
z55
20
1
Write using exponents: 3(3)(3)
33
Simplify: 2x2 times 4x3
8x5
Simplify: w3/w8
w-5 or 1/w5
Simplify: (43)2
46
To write a power with a negative exponent, we need to
Get the reciprocal of the base and raise it to a positive exponent
Write using exponents: h x h x h x h x h
h5
Simplify: (8x3)(-3x9)
-24x12
18a7/6a3
3a4
Simplify: (14y)4
38416y4
Write using a positive exponent w-5
1/w5
Write in expanded form: 9 ^ 6
9(9)(9)(9)(9)(9)
Make up your own product of powers question.
Varied answers.
Simplify: 12x2/6x3
2x-1 or 2/x
Simplify: (x2y6)3
x6y18
Write x-1 using positive exponent.
1/x