Åk 6–9
 
English/فارسی
6.9 Exercises - Powers
1. Write the following products as powers.  Which alternative is correct?
Ex: 2 · 2 · 2 · 2
  24 or 42?
  Answer: 24 (can even be written: 2^4)
a) 6 · 6 · 6 · 6 · 6 · 6 · 6
  76 or 67?
 
b) 3 · 3 · 3 · 3
  34 or 43?
 
c) 5 · 5 · 5
  35 or 53?
 
d) 2 · 2 · 2 · 2 · 2
  52 or 25?
 
e) 8 · 8 · 8 · 8 · 8 · 8 · 8 · 8 · 8
  89 or 98?
 
 
 
2. Write the following powers as a product.
Ex: 23 = 2 · 2 · 2
a) 37
 
b) 43
 
c) 26
 
d) 74
 
e) 92
 
 
 
3. Write the following powers of ten as a whole number.
Ex: 102 = 100
a) 109
 
b) 105
 
c) 103
 
d) 1012
 
e) 107
 
 
 
4. Which number corresponds to the expression?
Ex: 8.1 · 102 = 810
a) 1.7 · 105
 
b) 3.7 · 103
 
c) 4 · 10-3
 
d) 2.3 · 106
 
e) 7.45 · 10-2
 
 
 
5. Calculation rules for power. Calculate.
Ex: 24 · 53 = 16 · 125 = 2,000
a) 23 + 52
 
b) 62 - 42
 
c) 34 + 25
 
d) 22 · 52
 
e) 25 ÷ 24
 
f) 34 + 24
 
g) 32 · 42
 
h) 63 ÷ 23
 
i) 34 ÷ 92
 
j) 25 · 22