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StarterStarter
Simplify the following:Simplify the following:
2a + 3b – 7a + b2a + 3b – 7a + b
4c4c22 – 3c + 6c – 3c + 6c22 – 8c – 8c
5de + 6fd – 2ef – 6ed5de + 6fd – 2ef – 6ed
-5a + 4b
10c2 – 11c
-de + 6df – 2ef
StarterStarter
Simplify the Simplify the following:following:
2a . 3b . – 8c2a . 3b . – 8c
5d . - 6e + 6e . 2d5d . - 6e + 6e . 2d
18y15xy
-48abc
-18de
65x
53 2x4x 8x8
2ab3abb 52 82b6a
Note 5: ExponentsNote 5: Exponents
When multiplying numbers with the same base
Examples:
add the powers
46 2a12a 26a
c7abcb14a
3
5222ab
When dividing numbers with the same base
Examples:
subtract the powers
When taking an exponent of another exponent
Examples:
multiply the powers
25)(b 10b 325 )b(6a 615b216a
To find the square root of an algebraic To find the square root of an algebraic expression:expression:
half the powerhalf the power square root the numbersquare root the number
Examples:Examples: SimplifySimplify
1636x 14
6
25t16s
= 6x87
3
5t4s
Combined operations
32 53 4
57 4
32
3 4
xyx y
xy x y
6 8 3 15
2 2 7 20
4 27
9 4
x y x y
x y x y
3
=9 23
9 22
3x y
x y
= 3y
=