Exponent Vocabulary
What do we call the small raised number in an expression like 5²?
Exponent
5² × 5³ × 5¹
5⁶
Correct the mistake: “5² = 10”
5² = 25
(2²)³
2⁶ = 64
Lily stacked 2 boxes. Each box was twice as tall as the one before. How many times taller is the 2nd box than the 1st?
2¹ = 2 times taller
What does the exponent tell you to do?
Multiply the base by itself
a⁹ ÷ a³
a⁶
A student wrote: 2³ × 2² = 2⁶. What did they do wrong?
They added wrong: 3 + 2 = 5 → 2⁵
(x0)²
1
A bacteria doubles every hour. How many bacteria will there be after 3 hours if it starts with 1?
2³ = 8 bacteria
In 2⁴, what is the base and what is the exponent?
Base: 2, Exponent: 4
a⁴ × a² × a
a⁷
You see this: (x²)³ = x⁵. Is it correct?
No, it should be x⁶
(10¹)⁴
10⁴ = 10,000
Mia’s robot moves in powers of 10. In round one it moves 10¹ cm, in round two 10² cm. How far in total after round 2?
10 + 100 = 110 cm
True or False: 3² = 3 × 2
False (It’s 3 × 3 = 9)
7³ × 7-3
70 = 1
Which is greater: 3³ or 4²?
3³ = 27, 4² = 16 → 3³ is greater
(5²)³ x 1252
512
A magician triples his coins each trick. After 4 tricks, how many coins does he have if he started with 1?
3⁴ = 81 coins
What is another word for “power” in math?
Exponent / degree
x⁵ ÷ x⁵
x⁰ = 1
Someone claims: 2⁴ ÷ 2² = 2² = 8. What’s the real answer?
2² = 4 (not 8)
((a²)³)²
a¹²
A video game gives you 5² points for a level, and you play 3 levels. If the bonus is (5²)³, how many points do you get total with bonus?
15700
Regular points: 75 ,
Bonus points: 15,625 so
total points = 15625 + 75 = 15700