Irrational Numbers
Mixed and Entire Radicals
Fractional Exponents and Radicals
Negative Exponents and Reciprocals
Applying Exponent Laws/ Random
100
Define what an Irrational number is
A number that cannot be written as a fraction and the decimal form does not terminate nor repeats
100
Which is a mixed radical and which is an entire radical? √144, 3√4, √45, 44√90
Mixed: 3√4, 44√90 Entire: √144, √45
100
Evaluate 27^1/3 , (-64) ^ 1/3 , (4/9)^1/2
3, -4, 2/3
100
Evaluate 8^-2/3
1/4
100
Simplify by writing as a single power 0.3^-3 x 0.3^5
0.3^2
200
-3/5, √14, 3√8/27 Which are rational and which are irrational?
rational, irrational, rational
200
Change √80 to a mixed radical
4 √5
200
Write each as a radical 36^ 1/3, 48^1/2, (-30)^1/5
3√36 , √48 , 5√-30
200
Evaluate (25/26) ^-1/2
6/5
200
Who is the best math/ welding teacher?
Mr. Kelemen
300
Which are irrational, which are rational? √49/16, 3√-30, 1.21
Rational, Irrational, Rational
300
Write 2 5√2 as an entire radical
5√64
300
Evaluate 0.04 ^ 3/2 , (-32) ^0.4
0.008, 4
300
Evaluate 16^-5/4 , (25/36)^ 1/2
1/32 , 6/5
300
Simplify 10a^5b^3 / 2a^2b^-2
5a^3b^5
400
Order from least to greatest √2, 3√-2, 3√6, √11, 4√30
3√-2, √2, 3√6, 4√30, √11
400
Change to entire radicals 4√3, 3 3√2
√48 , 3√54
400
Write each radical as a power √39 , 3√29
39^1/2 , 29^ 1/3
400
Evaluate (9/16) ^ -3/2
64/27
400
In Pokemon when you had to choose between Bulbasaur, Charmander, and Squirtle, who was the best choice?
Charmander
500
Order from least to greatest 3√13, √18, √9, 4√27, 3√-5
3√-5, 4√27, 3√13, √9, √18
500
Write in simplest form 3√40 , √26, 4√32
2 3√5, Cannot be simplified , 2 4√2
500
Biologists use the formula b=0.01m^2/3 to estimate the mass of the worlds largest orange, b kilograms, with the orange peel weighing m kilograms. Estimate the weight of the peeled orange. The orange peel mass is 27kg
0.09kg
500
Scientists found tracks of a mutant slug with feet that had 14 toes. They used the toe measurements and the formula v=0.155s^5/3f^-7/6 to estimate the slug creature's speed. v= speed , s=distance between toe prints (1cm), f = toe length(0.25cm). Find V
0.7811
500
Simplify (x^3y^2)(x^2y^-4)
x^5/y^2