Simplifying Radicals
Radical Form to Exponential Form
Exponential Form to Radical Form
Final Jeopardy
100
Simplify the following radical expression
sqrt(98)
7sqrt2
100
Convert the following expression from Radical Form to Exponential Form
root5(n^4)
n^(4/5)
100
Convert the following expression from Rational Exponents to Simplest Radical Form
x^(2/5)
root(5)(x^2)
(root(5)x)^2
100
Does the graph represent exponential growth or decay? Write the explicit equation for the function.
(0,2), (1,6), (2,18)
Exponential Growth
y=2(3)x
200
Simplify the following radical expression
5sqrt(112)
20sqrt7
200
Convert the following expression from Radical Form to Exponential Form
root3(-27m^2n^6)
-3m^(2/3)n^2
200
Convert the following expression from Rational Exponents to Simplest Radical Form
7x^(2/3)
7root(3)x^2
7(root(3)x)^2
200
Write the explicit equation for this table:
m=-5, b=17
y= -5x+17
300
Simplify the following radical expression
sqrt(192xy^11z^6)
8y^5z^3sqrt(3xy)
300
Convert the following expression from Radical Form to Exponential Form
root4((5ab)^3)
5^(3/4)a^(3/4)b^(3/4)
OR
125^(1/4)a^(3/4)b^(3/4)
300
Convert the following expression from Rational Exponents to Simplest Radical Form
x^(17/2)
x^8sqrtx
300
Write the explicit equation for the table:
y=1(1/3)x
400
Simplify the following radical expression
4root3(125x^9y^7)
20x^3y^2root3(y)
400
Convert the following expression from Radical Form to Exponential Form
root4(5ab^3)
5^(1/4)a^(1/4)b^(3/4)
400
Convert the following expression from Rational Exponents to Simplest Radical Form
(4x)^(5/2)
32x^2sqrtx
400
Find the slope between two points and write the point slope form equation for the line that passes through these points:
(-3, -4)&(-2, -8)
y=-4(x+3)+-4 or y=-4(x+2)+-8
500
Simplify the following radical expression
root5(288x^3y^7)
2yroot5(9x^3y^2)
500
Convert the following expression from Radical Form to Exponential Form and simplify
root4(32a^2b^14)
2^(5/4)a^(1/2)b^(7/2)
500
Convert the following expression from Rational Exponents to Simplest Radical Form
(12^3x)^(1/2)
24sqrt3x
500
Find the slope and write the point slope form equation for the line that goes through these points:
(-1, -2)&(3, -4)
Then simplify point=slope form down to y=mx+b form.
1. m=-1/2
2. y=-1/2(x+1)-2 or y=-1/2(x-3)-4
3. y=-1/2x-5/2