Powers & Exponents
Write 7 × 7 × 7 × 7 using an exponent.
7⁴
Evaluate 15 − 4 × 2.
7
Is 51 prime or composite?
Composite
Find the GCF of 10 and 15.
5
Find the LCM of 5 and 8.
40
Evaluate 63.
216
Evaluate (10 − 4) × 5.
30
Write the prime factorization of 20? (Simplify with exponents, if possible)
2² × 5
Find the GCF of 16 and 20.
4
Find the LCM of 6 and 10.
30
Evaluate 3³ − 2⁴.
11
Evaluate 4² − 2 × (7 − 4).
10
What number has the prime factorization 2² × 3 × 5?
60
Find the GCF of 28 and 42.
14
Bus A arrives every 12 minutes and Bus B arrives every 18 minutes. If they both just arrived, in how many minutes will they arrive together again?
36 minutes
Which is greater, 4³ or 3⁴?
3⁴
Maria buys 3 packs of pencils at $2 each and a $5 notebook, then uses a $1 coupon. Write and evaluate an expression for her total cost.
3 × 2 + 5 − 1 = 10 dollars
Write the prime factorization of 84. (Simplify with exponents, if possible)
2² × 3 × 7
Find the GCF of 45, 60, and 75.
15
Find the LCM of 6, 8, and 10
120
A square garden has side length 9 feet. Write and evaluate an expression for its area using an exponent. (HINT: Area = length x width)
9² = 81 sq. feet
Evaluate 5 × [(12 − 2)² ÷ 5] − 3²
91
Write the prime factorization of 264.
2³ × 3 × 11
A baker has 24 cupcakes and 36 cookies and wants to make identical treat bags with no leftovers, using the greatest number of bags possible. How many bags can she make, and what's in each?
12 bags with 2 cupcakes and 3 cookies
A gym teacher schedules basketball practice every 4 days, soccer practice every 6 days, and track practice every 9 days. If all three practices happen today, in how many days will they all fall on the same day again?
36 days