SAME BASE — × OR ÷?
Simplify.
x⁴ · x³
What property should you use?
Product of Powers Property
4 + 3 = 7
x⁷
Simplify.
(x²)³
Power of a Power Property
2 × 3 = 6
x⁶
Classify the expression:
(3²)²
Is it:
A. Equivalent to 3⁴
B. Equivalent to 3⁻⁴
C. Neither
Equivalent to 3⁴
2 × 2 = 4
(3²)² = 3⁴
What value of n makes the equation true?
5ⁿ = 5² · 5⁴
2 + 4 = 6
n = 6
Simplify.
a⁻³ · a⁷
Write your answer using only positive exponents.
Product of Powers Property
−3 + 7 = 4
a⁴
(m⁻²)³
Write your answer using only positive exponents.
Power of a Power Property
−2 × 3 = −6
m⁻⁶ = 1/m⁶
Classify the expression:
(4⁻²)²
Is it:
A. Equivalent to 4⁴
B. Equivalent to 4⁻⁴
C. Neither
Equivalent to 4⁻⁴
−2 × 2 = −4
(4⁻²)² = 4⁻⁴
Simplify.
(y² · z⁰)³
z⁰ = 1
(y² · 1)³
= (y²)³
= y⁶
Simplify.
w⁻⁷ ÷ w⁻⁴
Write your answer using only positive exponents.
Quotient of Powers Property
−7 − (−4) = −3
w⁻³ = 1/w³
Simplify.
(5⁻²)⁻²
Power of a Power Property
(−2)(−2) = 4
5⁴
Classify ALL FOUR expressions.
Expression
(6⁻²)²
(6⁻²)⁻²
(1/6)⁴
(1/6)⁻⁴
Equivalent to 6⁴ Equivalent to 6⁻⁴ Neither
(6⁻²)² 6⁻⁴
(6⁻²)⁻² 6⁴
(1/6)⁴ 6⁻⁴
(1/6)⁻⁴ 6⁴
Simplify.
13³ · 13² · (13³)²
First:
(13³)² = 13⁶
Then:
13³ · 13² · 13⁶
3 + 2 + 6 = 11
13¹¹