6.4 Calculating with Powers
In this chapter we will see how we calculate and how we use the four arithmetic operators with powers.
Addition
A. |
23 + 22 = |
B. |
23 + 32 = |
|
(2 · 2 · 2) + (2 · 2) = |
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(2 · 2 · 2) + (3 · 3) = |
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8 + 4 = 12 |
|
8 + 9 = 17 |
|
|
C. |
52 + 32 = |
D. |
52 + 52 = |
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(5 · 5) + (3 · 3) = |
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(5 · 5) + (5 · 5) = |
|
25 + 9 = 34 |
|
25 + 25 = 50 |
Subtraction
A. |
53 - 22 = |
B. |
72 - 25= |
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(5 · 5 · 5) - (2 · 2) = |
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(7 · 7) - (2 · 2 · 2 · 2 · 2) = |
|
125 - 4 = 121 |
|
49 - 32 = 17 |
|
|
C. |
34 - 24= |
D. |
53 - 52 = |
|
(3 · 3 · 3 · 3) -
(2 · 2 · 2 · 2) = |
|
(5 · 5 · 5) - (5 · 5) = |
|
81 - 16 = 65 |
|
125 - 25 = 100 |
Multiplication
A. |
32 · 34= |
B. |
52 · 32= |
|
(3 · 3) · (3 · 3 · 3 · 3) = |
|
(5 · 5) · (3 · 3)
= |
|
9 · 81 =
729 |
|
25 · 9 = 225 |
Division
A. |
33 ÷
32= |
B. |
25 ÷
42= |
|
(3 · 3 · 3) ÷ (3 · 3) = |
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(2 · 2 · 2 · 2 · 2) ÷ (4 · 4) = |
|
27 ÷ 9 = 3 |
|
32 ÷ 16 =
2 |
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