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Zero & Negative Exponents
Multiplying Powers with the Same Base
Raising a Power to a Power
Raising a Product to a Power
Division Properties of Exponents
100
(3,000,000)^0
(3,000,000)^0 = 1
100
7^3 * 7^4
7^7
100
(5^4)^2
5^8
100
(3x)^4
81x^4
100
2^6 / 2^2
2^4 or 16
200
7^-2
7^-2 = 1 / 7^2 = 1 / 49
200
x^3 * x^4
x^7
200
(x^1/2)^2
x
200
(7m^9)^3
343m^27
200
x^4 / x^7
1 / x^3
300
1 / 2^0
1 / 2^0 = 1 / 1 = 1
300
(-6)^12 * (-6)^5 * (-6)^2
(-6)^19
300
x^2 (x^6)^-4
x^-22 = 1/x^22
300
(2z)^-4
1/16z^4
300
(3/5)^3
27 / 125
400
1 / x ^-5
1 / x ^-5 = x^5
400
(x^5 y^2)(x^-6 y)
y^3/x
400
(a^3/2)^3
a^9/2
400
(3g^4)^-2
1/9g^8
400
(4 / x^3)^2
16 / x^6
500
6a^-1c^-3 / d^0
6a^-1c^-3 / d^0 = 6 / ac^3
500
(5x^5)(3y^6)(3x^2)
45x^7 y^6
500
w^-2 (w^5/3)^3
w^3
500
(4m^1/2)^3
64m^3/2
500
(z^2/3 / 5 )^3
z^2 / 125