Identity and Zero Property
Simplify the following:
a^5 * b^0
What is
a^5
Simplify the following:
a^3 b^5 * b^3
What is
a^3 b^8
Simplify the following:
(2a^2)^3
What is
8a^6
Simplify the following:
a^-3
What is
1/ a^3
State the Property:
(a^m)^n
What is Power to a Power?
Simplify the following:
1000^0
What is 1?
Simplify the following:
(m^5 n^6) / m
What is
m^4 n^6
Simplify the following:
((3x^7)/5)^3
What is
(27x^21)/125
Simplify the following:
(x^-6) / (y^-3)
What is
y^3 /x^6
State the Property:
x^6 / x^10
What is Quotient of Powers?
Simplify the following:
2^1 * 3^1
What is 6?
Simplify the following:
x^6 y^7 * y^10 x^11
What is
x^17 y^17
Simplify the following:
(3a^8)^2 * (3b^5)^2
What is
81 a^16 b^10
Simplify the following:
12a^-4 * a^3
What is
12/a
State the Property:
a^4 * a^10
What is Product of Powers?
Simplify the following:
1^42 b^1 18^0
What is b?
Simplify the following:
(a^7 b^6 c^8) / (b^10 c^9)
What is
a^7 / (b^4 c)
Simplify the following:
((2k^4) / (j^0 k^3))^5
What is
32k^5
Simplify the following:
(m^-3 n^4) / (m^7 n^-8)
What is
n^12 / m^10
State the Property?
a^1b^1c^1
Simplify the following:
(54^0 a^1) / (27^0 a)
What is 1?
Simplify the following:
(4ac * 2bc) / (8abc)
Simplify the following:
((4a)^2 * (-bc)^2) / (4b)^2
What is
a^2 c^2
Simplify the following:
(2a^-5)/b^6 *a/(4b^-2)
What is
1 / (2a^4b^4)
State the difference between product of powers and power of a product.
Product of powers is is when the same base is multiplied and we add the exponents.
Power of a product is when we distribute the exponent to a multiplication problem.