Product Rule
Power of a Product/ Power of a Power Rule
Quotient Rule
Negative Exponent Rule
Mixed Review
Rational Exponents/Radical Expressions
100
When multiplying variables, you do this to the exponents.
What is add them?
100
(x^4)^5
x^20
100
x^7/x^3
x^4
100
4x^-8
4/x^8
100
(-1200x)0
1
100
Convert the radical expression to a rational exponent.
sqrt(3)
3^(1/2)
200
2x^5 * x^7
2x^12
200
4(y^3)^2
4y^6
200
(2x^6)/(6x^5)
x/3
200
X-3 / X3
1/X6
200
(5x^-5y^4)/(15x^2b^-6)
(b^10)/(3a^7)
200
Simplify:
sqrt(12)
300
(4f^8)(6f^4)
24f^12
300
(x^3y^2)^6
x^18y^12
300
(8x^10)/(4x^3)
2x^7
300
(3x^-8)(6x^4)
18/(x^4)
300
(sqrt(2))(sqrt(32))
8
300
Convert the radical expression to a rational exponent.
400
(8r^5)(2r^-7)
16/r^2
400
(4w^5)^2
16w^10
400
(w^6u^2)/(w^3u^9)
w^3/(u^7)
400
(x^-3v^5)^-8
x^24/(v^40)
400
sqrt(8)/sqrt(32)
1/2
400
Simplify.
500
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2
500
(8w^3y^7)^0
1
500
(4x^2m^4x^5)/(8x^8m^8)
m^4/2x)
500
11a^2 * 3a^-6
33/a^4
500
(a^0b^7c^-3)/(b^5c^-3)
b2
500
Simplify:
sqrt(18)
3sqrt(2)