How do you simplify expressions with exponents/radicals? What is

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Warm Ups: Radicals/Rational Exponents (1)
WHERE AM I GOING?
How do you simplify expressions with exponents/radicals?
What is the connection between rational exponents and radicals?
WHERE AM I NOW?
5.1-1 SIMPLIFY
(2 x) 4
x 1  x
1)
(12 x 2 y 6 ) 2
8x 4 y 7
2)
3) (3x -3y-2)-2
5.1-2 Simplify
1)
2)
x13 y19
5.2-1: Simplify
1)
4)
3
3
5
3x
3)
64 y12
3
48 x 3
9 x y  3  24 x y
2
5
7
3
2)
3 xy
3)
2
3
5)
3
81x12 y 8
5
8x
14
7x2 y
M. Murray
5.2-2: Simplify
1)
7 3 x 2  23 x 2
33 81  23 54
2)
3)
(2 5  3 2 ) 2
5.2-2: Simplify
1)
2)
3 8
22 8
75  4 18  2 32
Find two pairs of conjugates with a product of 3.
5.2-3: Simplify (no calculator)
1)
1
2
2  32
1
2
2)
64
2
3
Explain why
1
1
1
1
(64) 3  64 3 and (64) 2  64 2
3)
6
(32) 5
4)
2

1
( x 3 y 6 ) 12