Power Basics
Write 43 as repeated multiplication
4x4x4
Compare: Which is larger 52 or 25
52 = 25 25=32
Simplify 23 x 24
27
62
36
A student says 23 + 23 = 26
You cannot add exponents when adding powers
Identify the base and exponent in 75
Base = 7, Exponent = 5
Explain the difference between -24 and (-2)4
Parentheses determine whether the base is negative.
Simplify 56/52
54
(-2)3
-8
A student says 40 = 0
Any non-zero base to the power of 0 equals 1
Which is larger 34 or 43
34 =81 and 43= 64
Write a power that equals 64.
26, 43 or 82
Simplify and evaluate (32 x 32) / 3
33
56390278160
1
A student says 35/33 = 310
They multiplied exponents instead of subtracting when using the quotient law
Write this repeated multiplication as a power:
-(2×2×2×2×2)
-25
Evaluate (32)2
34=81
Simplify (x3)2
x6
33 + 24
27 + 16 = 43
A student simplifies -52 = 25
The negative is not in parentheses
Evaluate (-3)4
81
Which is larger 92 or 34? Explain
Both equal 81 when evaluated
Simplify and evaluate (47 x 42) / 45
44 = 256
Evaluate 54 - 42 + 25
125 -16 +32 = 141
A student says (23)2 = 25
They added the exponents instead of multiplying